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Finding the Fourth Proportional to 57,708.61, 86,567.88 and 20,265.47

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Solution

The fourth proportional to 57,708.61, 86,567.88 and 20,265.47 is: 30,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.61 : 86,567.88 = 20,265.47 : x
  2. Step 2: Convert to fraction form
    57,708.61/86,567.88 = 20,265.47/x
  3. Step 3: Cross multiply
    57,708.61x = 86,567.88 × 20,265.47
  4. Step 4: Simplify right side
    57,708.61x = 1,754,338,775.10
  5. Step 5: Solve for x
    x = 1,754,338,775.10/57,708.61
  6. Step 6: Final answer
    x = 30,399.95

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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.