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Finding the Fourth Proportional to 41,707.89, 62,532.12 and 19,509.17

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Solution

The fourth proportional to 41,707.89, 62,532.12 and 19,509.17 is: 29,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707.89 : 62,532.12 = 19,509.17 : x
  2. Step 2: Convert to fraction form
    41,707.89/62,532.12 = 19,509.17/x
  3. Step 3: Cross multiply
    41,707.89x = 62,532.12 × 19,509.17
  4. Step 4: Simplify right side
    41,707.89x = 1,219,949,446.88
  5. Step 5: Solve for x
    x = 1,219,949,446.88/41,707.89
  6. Step 6: Final answer
    x = 29,249.85

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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.