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Finding the Fourth Proportional to 32,078.68, 48,115.71 and 9,889.74

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Solution

The fourth proportional to 32,078.68, 48,115.71 and 9,889.74 is: 14,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.68 : 48,115.71 = 9,889.74 : x
  2. Step 2: Convert to fraction form
    32,078.68/48,115.71 = 9,889.74/x
  3. Step 3: Cross multiply
    32,078.68x = 48,115.71 × 9,889.74
  4. Step 4: Simplify right side
    32,078.68x = 475,851,861.82
  5. Step 5: Solve for x
    x = 475,851,861.82/32,078.68
  6. Step 6: Final answer
    x = 14,833.90

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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.