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Finding the Fourth Proportional to 16,042.28, 24,065.68 and 4,949.87

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Solution

The fourth proportional to 16,042.28, 24,065.68 and 4,949.87 is: 7,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.28 : 24,065.68 = 4,949.87 : x
  2. Step 2: Convert to fraction form
    16,042.28/24,065.68 = 4,949.87/x
  3. Step 3: Cross multiply
    16,042.28x = 24,065.68 × 4,949.87
  4. Step 4: Simplify right side
    16,042.28x = 119,121,998.57
  5. Step 5: Solve for x
    x = 119,121,998.57/16,042.28
  6. Step 6: Final answer
    x = 7,425.50

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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.