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Finding the Fourth Proportional to 109,691.30, 164,502.90 and 39,561.50

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Solution

The fourth proportional to 109,691.30, 164,502.90 and 39,561.50 is: 59,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,691.30 : 164,502.90 = 39,561.50 : x
  2. Step 2: Convert to fraction form
    109,691.30/164,502.90 = 39,561.50/x
  3. Step 3: Cross multiply
    109,691.30x = 164,502.90 × 39,561.50
  4. Step 4: Simplify right side
    109,691.30x = 6,507,981,478.35
  5. Step 5: Solve for x
    x = 6,507,981,478.35/109,691.30
  6. Step 6: Final answer
    x = 59,329.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.