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Finding the Fourth Proportional to 73,920.16, 101,877.92 and 55,972.16

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Solution

The fourth proportional to 73,920.16, 101,877.92 and 55,972.16 is: 77,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920.16 : 101,877.92 = 55,972.16 : x
  2. Step 2: Convert to fraction form
    73,920.16/101,877.92 = 55,972.16/x
  3. Step 3: Cross multiply
    73,920.16x = 101,877.92 × 55,972.16
  4. Step 4: Simplify right side
    73,920.16x = 5,702,327,238.71
  5. Step 5: Solve for x
    x = 5,702,327,238.71/73,920.16
  6. Step 6: Final answer
    x = 77,141.71

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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.