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Finding the Fourth Proportional to 32,097.38, 48,148.94 and 8,404.88

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Solution

The fourth proportional to 32,097.38, 48,148.94 and 8,404.88 is: 12,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.38 : 48,148.94 = 8,404.88 : x
  2. Step 2: Convert to fraction form
    32,097.38/48,148.94 = 8,404.88/x
  3. Step 3: Cross multiply
    32,097.38x = 48,148.94 × 8,404.88
  4. Step 4: Simplify right side
    32,097.38x = 404,686,062.83
  5. Step 5: Solve for x
    x = 404,686,062.83/32,097.38
  6. Step 6: Final answer
    x = 12,608.07

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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.