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Finding the Fourth Proportional to 32,084.08, 48,126.12 and 15,654

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Solution

The fourth proportional to 32,084.08, 48,126.12 and 15,654 is: 23,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.08 : 48,126.12 = 15,654 : x
  2. Step 2: Convert to fraction form
    32,084.08/48,126.12 = 15,654/x
  3. Step 3: Cross multiply
    32,084.08x = 48,126.12 × 15,654
  4. Step 4: Simplify right side
    32,084.08x = 753,366,282.48
  5. Step 5: Solve for x
    x = 753,366,282.48/32,084.08
  6. Step 6: Final answer
    x = 23,481

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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.