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Finding the Fourth Proportional to 48,876.94, 73,432.80 and 31,380.94

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Solution

The fourth proportional to 48,876.94, 73,432.80 and 31,380.94 is: 47,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,876.94 : 73,432.80 = 31,380.94 : x
  2. Step 2: Convert to fraction form
    48,876.94/73,432.80 = 31,380.94/x
  3. Step 3: Cross multiply
    48,876.94x = 73,432.80 × 31,380.94
  4. Step 4: Simplify right side
    48,876.94x = 2,304,390,290.83
  5. Step 5: Solve for x
    x = 2,304,390,290.83/48,876.94
  6. Step 6: Final answer
    x = 47,146.78

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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.