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Finding the Fourth Proportional to 32,407.75, 48,610.00 and 12,689.92

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Solution

The fourth proportional to 32,407.75, 48,610.00 and 12,689.92 is: 19,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.75 : 48,610.00 = 12,689.92 : x
  2. Step 2: Convert to fraction form
    32,407.75/48,610.00 = 12,689.92/x
  3. Step 3: Cross multiply
    32,407.75x = 48,610.00 × 12,689.92
  4. Step 4: Simplify right side
    32,407.75x = 616,856,704.70
  5. Step 5: Solve for x
    x = 616,856,704.70/32,407.75
  6. Step 6: Final answer
    x = 19,034.24

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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.