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Finding the Fourth Proportional to 32,080.97, 48,129.66 and 13,354.78

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Solution

The fourth proportional to 32,080.97, 48,129.66 and 13,354.78 is: 20,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.97 : 48,129.66 = 13,354.78 : x
  2. Step 2: Convert to fraction form
    32,080.97/48,129.66 = 13,354.78/x
  3. Step 3: Cross multiply
    32,080.97x = 48,129.66 × 13,354.78
  4. Step 4: Simplify right side
    32,080.97x = 642,761,020.77
  5. Step 5: Solve for x
    x = 642,761,020.77/32,080.97
  6. Step 6: Final answer
    x = 20,035.59

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1.5x scale

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.