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Finding the Fourth Proportional to 32,339.49, 48,514.38 and 10,147.61

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Solution

The fourth proportional to 32,339.49, 48,514.38 and 10,147.61 is: 15,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339.49 : 48,514.38 = 10,147.61 : x
  2. Step 2: Convert to fraction form
    32,339.49/48,514.38 = 10,147.61/x
  3. Step 3: Cross multiply
    32,339.49x = 48,514.38 × 10,147.61
  4. Step 4: Simplify right side
    32,339.49x = 492,305,090.86
  5. Step 5: Solve for x
    x = 492,305,090.86/32,339.49
  6. Step 6: Final answer
    x = 15,223.03

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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.