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Finding the Fourth Proportional to 32,470.54, 48,712.08 and 12,478.52

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Solution

The fourth proportional to 32,470.54, 48,712.08 and 12,478.52 is: 18,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.54 : 48,712.08 = 12,478.52 : x
  2. Step 2: Convert to fraction form
    32,470.54/48,712.08 = 12,478.52/x
  3. Step 3: Cross multiply
    32,470.54x = 48,712.08 × 12,478.52
  4. Step 4: Simplify right side
    32,470.54x = 607,854,833.10
  5. Step 5: Solve for x
    x = 607,854,833.10/32,470.54
  6. Step 6: Final answer
    x = 18,720.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.