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Finding the Fourth Proportional to 49,564.47, 68,376.65 and 29,422.20

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Solution

The fourth proportional to 49,564.47, 68,376.65 and 29,422.20 is: 40,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564.47 : 68,376.65 = 29,422.20 : x
  2. Step 2: Convert to fraction form
    49,564.47/68,376.65 = 29,422.20/x
  3. Step 3: Cross multiply
    49,564.47x = 68,376.65 × 29,422.20
  4. Step 4: Simplify right side
    49,564.47x = 2,011,791,324.52
  5. Step 5: Solve for x
    x = 2,011,791,324.52/49,564.47
  6. Step 6: Final answer
    x = 40,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.