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Finding the Fourth Proportional to 32,452.48, 48,678.78 and 9,079.12

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Solution

The fourth proportional to 32,452.48, 48,678.78 and 9,079.12 is: 13,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.48 : 48,678.78 = 9,079.12 : x
  2. Step 2: Convert to fraction form
    32,452.48/48,678.78 = 9,079.12/x
  3. Step 3: Cross multiply
    32,452.48x = 48,678.78 × 9,079.12
  4. Step 4: Simplify right side
    32,452.48x = 441,960,485.07
  5. Step 5: Solve for x
    x = 441,960,485.07/32,452.48
  6. Step 6: Final answer
    x = 13,618.70

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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.