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Finding the Fourth Proportional to 32,466.92, 48,708.97 and 10,280.66

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Solution

The fourth proportional to 32,466.92, 48,708.97 and 10,280.66 is: 15,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.92 : 48,708.97 = 10,280.66 : x
  2. Step 2: Convert to fraction form
    32,466.92/48,708.97 = 10,280.66/x
  3. Step 3: Cross multiply
    32,466.92x = 48,708.97 × 10,280.66
  4. Step 4: Simplify right side
    32,466.92x = 500,760,090.27
  5. Step 5: Solve for x
    x = 500,760,090.27/32,466.92
  6. Step 6: Final answer
    x = 15,423.70

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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.