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Finding the Fourth Proportional to 59,309.57, 81,839.13 and 35,431.17

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Solution

The fourth proportional to 59,309.57, 81,839.13 and 35,431.17 is: 48,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,309.57 : 81,839.13 = 35,431.17 : x
  2. Step 2: Convert to fraction form
    59,309.57/81,839.13 = 35,431.17/x
  3. Step 3: Cross multiply
    59,309.57x = 81,839.13 × 35,431.17
  4. Step 4: Simplify right side
    59,309.57x = 2,899,656,447.21
  5. Step 5: Solve for x
    x = 2,899,656,447.21/59,309.57
  6. Step 6: Final answer
    x = 48,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.