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Finding the Fourth Proportional to 51,501.84, 77,120.64 and 35,684.40

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Solution

The fourth proportional to 51,501.84, 77,120.64 and 35,684.40 is: 53,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,501.84 : 77,120.64 = 35,684.40 : x
  2. Step 2: Convert to fraction form
    51,501.84/77,120.64 = 35,684.40/x
  3. Step 3: Cross multiply
    51,501.84x = 77,120.64 × 35,684.40
  4. Step 4: Simplify right side
    51,501.84x = 2,752,003,766.02
  5. Step 5: Solve for x
    x = 2,752,003,766.02/51,501.84
  6. Step 6: Final answer
    x = 53,435.06

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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.