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Finding the Fourth Proportional to 32,742.66, 49,117.62 and 11,687.61

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Solution

The fourth proportional to 32,742.66, 49,117.62 and 11,687.61 is: 17,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.66 : 49,117.62 = 11,687.61 : x
  2. Step 2: Convert to fraction form
    32,742.66/49,117.62 = 11,687.61/x
  3. Step 3: Cross multiply
    32,742.66x = 49,117.62 × 11,687.61
  4. Step 4: Simplify right side
    32,742.66x = 574,067,586.69
  5. Step 5: Solve for x
    x = 574,067,586.69/32,742.66
  6. Step 6: Final answer
    x = 17,532.71

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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.