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Finding the Fourth Proportional to 83,816.50, 125,732.31 and 21,487.54

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Solution

The fourth proportional to 83,816.50, 125,732.31 and 21,487.54 is: 32,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816.50 : 125,732.31 = 21,487.54 : x
  2. Step 2: Convert to fraction form
    83,816.50/125,732.31 = 21,487.54/x
  3. Step 3: Cross multiply
    83,816.50x = 125,732.31 × 21,487.54
  4. Step 4: Simplify right side
    83,816.50x = 2,701,678,040.42
  5. Step 5: Solve for x
    x = 2,701,678,040.42/83,816.50
  6. Step 6: Final answer
    x = 32,233.25

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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.