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Finding the Fourth Proportional to 32,742.52, 49,113.24 and 8,118.52

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Solution

The fourth proportional to 32,742.52, 49,113.24 and 8,118.52 is: 12,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.52 : 49,113.24 = 8,118.52 : x
  2. Step 2: Convert to fraction form
    32,742.52/49,113.24 = 8,118.52/x
  3. Step 3: Cross multiply
    32,742.52x = 49,113.24 × 8,118.52
  4. Step 4: Simplify right side
    32,742.52x = 398,726,821.20
  5. Step 5: Solve for x
    x = 398,726,821.20/32,742.52
  6. Step 6: Final answer
    x = 12,177.65

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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.