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Finding the Fourth Proportional to 57,952.13, 86,935.49 and 20,503.40

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Solution

The fourth proportional to 57,952.13, 86,935.49 and 20,503.40 is: 30,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.13 : 86,935.49 = 20,503.40 : x
  2. Step 2: Convert to fraction form
    57,952.13/86,935.49 = 20,503.40/x
  3. Step 3: Cross multiply
    57,952.13x = 86,935.49 × 20,503.40
  4. Step 4: Simplify right side
    57,952.13x = 1,782,473,125.67
  5. Step 5: Solve for x
    x = 1,782,473,125.67/57,952.13
  6. Step 6: Final answer
    x = 30,757.68

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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.