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Finding the Fourth Proportional to 73,006.16, 100,748.34 and 39,472.16

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Solution

The fourth proportional to 73,006.16, 100,748.34 and 39,472.16 is: 54,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.16 : 100,748.34 = 39,472.16 : x
  2. Step 2: Convert to fraction form
    73,006.16/100,748.34 = 39,472.16/x
  3. Step 3: Cross multiply
    73,006.16x = 100,748.34 × 39,472.16
  4. Step 4: Simplify right side
    73,006.16x = 3,976,754,596.21
  5. Step 5: Solve for x
    x = 3,976,754,596.21/73,006.16
  6. Step 6: Final answer
    x = 54,471.49

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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.