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Finding the Fourth Proportional to 52,693.68, 72,708.12 and 31,471.68

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Solution

The fourth proportional to 52,693.68, 72,708.12 and 31,471.68 is: 43,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,693.68 : 72,708.12 = 31,471.68 : x
  2. Step 2: Convert to fraction form
    52,693.68/72,708.12 = 31,471.68/x
  3. Step 3: Cross multiply
    52,693.68x = 72,708.12 × 31,471.68
  4. Step 4: Simplify right side
    52,693.68x = 2,288,246,686.04
  5. Step 5: Solve for x
    x = 2,288,246,686.04/52,693.68
  6. Step 6: Final answer
    x = 43,425.45

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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.