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Finding the Fourth Proportional to 32,887.78, 49,306.98 and 10,687.90

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Solution

The fourth proportional to 32,887.78, 49,306.98 and 10,687.90 is: 16,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,887.78 : 49,306.98 = 10,687.90 : x
  2. Step 2: Convert to fraction form
    32,887.78/49,306.98 = 10,687.90/x
  3. Step 3: Cross multiply
    32,887.78x = 49,306.98 × 10,687.90
  4. Step 4: Simplify right side
    32,887.78x = 526,988,071.54
  5. Step 5: Solve for x
    x = 526,988,071.54/32,887.78
  6. Step 6: Final answer
    x = 16,023.83

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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.