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Finding the Fourth Proportional to 32,862.76, 49,310.70 and 13,147

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Solution

The fourth proportional to 32,862.76, 49,310.70 and 13,147 is: 19,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.76 : 49,310.70 = 13,147 : x
  2. Step 2: Convert to fraction form
    32,862.76/49,310.70 = 13,147/x
  3. Step 3: Cross multiply
    32,862.76x = 49,310.70 × 13,147
  4. Step 4: Simplify right side
    32,862.76x = 648,287,772.90
  5. Step 5: Solve for x
    x = 648,287,772.90/32,862.76
  6. Step 6: Final answer
    x = 19,727.12

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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.