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Finding the Fourth Proportional to 51,804.83, 77,706.99 and 44,763.42

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Solution

The fourth proportional to 51,804.83, 77,706.99 and 44,763.42 is: 67,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804.83 : 77,706.99 = 44,763.42 : x
  2. Step 2: Convert to fraction form
    51,804.83/77,706.99 = 44,763.42/x
  3. Step 3: Cross multiply
    51,804.83x = 77,706.99 × 44,763.42
  4. Step 4: Simplify right side
    51,804.83x = 3,478,430,289.22
  5. Step 5: Solve for x
    x = 3,478,430,289.22/51,804.83
  6. Step 6: Final answer
    x = 67,144.90

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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.