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Finding the Fourth Proportional to 101,095.92, 151,663.32 and 38,761.56

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Solution

The fourth proportional to 101,095.92, 151,663.32 and 38,761.56 is: 58,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,095.92 : 151,663.32 = 38,761.56 : x
  2. Step 2: Convert to fraction form
    101,095.92/151,663.32 = 38,761.56/x
  3. Step 3: Cross multiply
    101,095.92x = 151,663.32 × 38,761.56
  4. Step 4: Simplify right side
    101,095.92x = 5,878,706,877.98
  5. Step 5: Solve for x
    x = 5,878,706,877.98/101,095.92
  6. Step 6: Final answer
    x = 58,149.79

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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.