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Finding the Fourth Proportional to 41,342.76, 62,007.52 and 11,350

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Solution

The fourth proportional to 41,342.76, 62,007.52 and 11,350 is: 17,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,342.76 : 62,007.52 = 11,350 : x
  2. Step 2: Convert to fraction form
    41,342.76/62,007.52 = 11,350/x
  3. Step 3: Cross multiply
    41,342.76x = 62,007.52 × 11,350
  4. Step 4: Simplify right side
    41,342.76x = 703,785,352
  5. Step 5: Solve for x
    x = 703,785,352/41,342.76
  6. Step 6: Final answer
    x = 17,023.18

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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.