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Finding the Fourth Proportional to 51,584,516.80, 77,264,800.80 and 42,626,564.80

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Solution

The fourth proportional to 51,584,516.80, 77,264,800.80 and 42,626,564.80 is: 63,847,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584,516.80 : 77,264,800.80 = 42,626,564.80 : x
  2. Step 2: Convert to fraction form
    51,584,516.80/77,264,800.80 = 42,626,564.80/x
  3. Step 3: Cross multiply
    51,584,516.80x = 77,264,800.80 × 42,626,564.80
  4. Step 4: Simplify right side
    51,584,516.80x = 3,293,533,038,060,291.50
  5. Step 5: Solve for x
    x = 3,293,533,038,060,291.50/51,584,516.80
  6. Step 6: Final answer
    x = 63,847,317.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.