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Finding the Fourth Proportional to 83,505.62, 125,248.56 and 23,538.59

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Solution

The fourth proportional to 83,505.62, 125,248.56 and 23,538.59 is: 35,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,505.62 : 125,248.56 = 23,538.59 : x
  2. Step 2: Convert to fraction form
    83,505.62/125,248.56 = 23,538.59/x
  3. Step 3: Cross multiply
    83,505.62x = 125,248.56 × 23,538.59
  4. Step 4: Simplify right side
    83,505.62x = 2,948,174,741.77
  5. Step 5: Solve for x
    x = 2,948,174,741.77/83,505.62
  6. Step 6: Final answer
    x = 35,305.11

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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.