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Finding the Fourth Proportional to 32,279.52, 48,429 and 10,095.24

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Solution

The fourth proportional to 32,279.52, 48,429 and 10,095.24 is: 15,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279.52 : 48,429 = 10,095.24 : x
  2. Step 2: Convert to fraction form
    32,279.52/48,429 = 10,095.24/x
  3. Step 3: Cross multiply
    32,279.52x = 48,429 × 10,095.24
  4. Step 4: Simplify right side
    32,279.52x = 488,902,377.96
  5. Step 5: Solve for x
    x = 488,902,377.96/32,279.52
  6. Step 6: Final answer
    x = 15,145.90

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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.