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Finding the Fourth Proportional to 74,963.87, 112,476.89 and 32,822.20

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Solution

The fourth proportional to 74,963.87, 112,476.89 and 32,822.20 is: 49,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,963.87 : 112,476.89 = 32,822.20 : x
  2. Step 2: Convert to fraction form
    74,963.87/112,476.89 = 32,822.20/x
  3. Step 3: Cross multiply
    74,963.87x = 112,476.89 × 32,822.20
  4. Step 4: Simplify right side
    74,963.87x = 3,691,738,978.96
  5. Step 5: Solve for x
    x = 3,691,738,978.96/74,963.87
  6. Step 6: Final answer
    x = 49,246.91

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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.