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Finding the Fourth Proportional to 102,181.96, 153,279.42 and 32,064.04

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Solution

The fourth proportional to 102,181.96, 153,279.42 and 32,064.04 is: 48,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.96 : 153,279.42 = 32,064.04 : x
  2. Step 2: Convert to fraction form
    102,181.96/153,279.42 = 32,064.04/x
  3. Step 3: Cross multiply
    102,181.96x = 153,279.42 × 32,064.04
  4. Step 4: Simplify right side
    102,181.96x = 4,914,757,454.06
  5. Step 5: Solve for x
    x = 4,914,757,454.06/102,181.96
  6. Step 6: Final answer
    x = 48,098.09

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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.