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Finding the Fourth Proportional to 32,049.81, 48,080.18 and 9,862.70

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Solution

The fourth proportional to 32,049.81, 48,080.18 and 9,862.70 is: 14,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.81 : 48,080.18 = 9,862.70 : x
  2. Step 2: Convert to fraction form
    32,049.81/48,080.18 = 9,862.70/x
  3. Step 3: Cross multiply
    32,049.81x = 48,080.18 × 9,862.70
  4. Step 4: Simplify right side
    32,049.81x = 474,200,175.54
  5. Step 5: Solve for x
    x = 474,200,175.54/32,049.81
  6. Step 6: Final answer
    x = 14,795.73

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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.