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Finding the Fourth Proportional to 105,232.26, 157,917.59 and 38,672.97

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Solution

The fourth proportional to 105,232.26, 157,917.59 and 38,672.97 is: 58,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232.26 : 157,917.59 = 38,672.97 : x
  2. Step 2: Convert to fraction form
    105,232.26/157,917.59 = 38,672.97/x
  3. Step 3: Cross multiply
    105,232.26x = 157,917.59 × 38,672.97
  4. Step 4: Simplify right side
    105,232.26x = 6,107,142,220.54
  5. Step 5: Solve for x
    x = 6,107,142,220.54/105,232.26
  6. Step 6: Final answer
    x = 58,034.89

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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.