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Finding the Fourth Proportional to 49,158.48, 73,761.75 and 22,881.54

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Solution

The fourth proportional to 49,158.48, 73,761.75 and 22,881.54 is: 34,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158.48 : 73,761.75 = 22,881.54 : x
  2. Step 2: Convert to fraction form
    49,158.48/73,761.75 = 22,881.54/x
  3. Step 3: Cross multiply
    49,158.48x = 73,761.75 × 22,881.54
  4. Step 4: Simplify right side
    49,158.48x = 1,687,782,433.10
  5. Step 5: Solve for x
    x = 1,687,782,433.10/49,158.48
  6. Step 6: Final answer
    x = 34,333.50

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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.