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Finding the Fourth Proportional to 57,812.49, 86,655.40 and 29,734.03

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Solution

The fourth proportional to 57,812.49, 86,655.40 and 29,734.03 is: 44,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,812.49 : 86,655.40 = 29,734.03 : x
  2. Step 2: Convert to fraction form
    57,812.49/86,655.40 = 29,734.03/x
  3. Step 3: Cross multiply
    57,812.49x = 86,655.40 × 29,734.03
  4. Step 4: Simplify right side
    57,812.49x = 2,576,614,263.26
  5. Step 5: Solve for x
    x = 2,576,614,263.26/57,812.49
  6. Step 6: Final answer
    x = 44,568.47

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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.