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Finding the Fourth Proportional to 73,893.72, 101,972.70 and 40,359

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Solution

The fourth proportional to 73,893.72, 101,972.70 and 40,359 is: 55,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,893.72 : 101,972.70 = 40,359 : x
  2. Step 2: Convert to fraction form
    73,893.72/101,972.70 = 40,359/x
  3. Step 3: Cross multiply
    73,893.72x = 101,972.70 × 40,359
  4. Step 4: Simplify right side
    73,893.72x = 4,115,516,199.30
  5. Step 5: Solve for x
    x = 4,115,516,199.30/73,893.72
  6. Step 6: Final answer
    x = 55,695.07

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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.