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Finding the Fourth Proportional to 102,344.40, 153,505.92 and 27,472.56

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Solution

The fourth proportional to 102,344.40, 153,505.92 and 27,472.56 is: 41,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.40 : 153,505.92 = 27,472.56 : x
  2. Step 2: Convert to fraction form
    102,344.40/153,505.92 = 27,472.56/x
  3. Step 3: Cross multiply
    102,344.40x = 153,505.92 × 27,472.56
  4. Step 4: Simplify right side
    102,344.40x = 4,217,200,597.56
  5. Step 5: Solve for x
    x = 4,217,200,597.56/102,344.40
  6. Step 6: Final answer
    x = 41,205.97

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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.