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Finding the Fourth Proportional to 83,702.73, 125,514.53 and 32,435.42

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Solution

The fourth proportional to 83,702.73, 125,514.53 and 32,435.42 is: 48,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702.73 : 125,514.53 = 32,435.42 : x
  2. Step 2: Convert to fraction form
    83,702.73/125,514.53 = 32,435.42/x
  3. Step 3: Cross multiply
    83,702.73x = 125,514.53 × 32,435.42
  4. Step 4: Simplify right side
    83,702.73x = 4,071,115,828.54
  5. Step 5: Solve for x
    x = 4,071,115,828.54/83,702.73
  6. Step 6: Final answer
    x = 48,637.79

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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.