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Finding the Fourth Proportional to 40,257.96, 60,115.85 and 32,877.06

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Solution

The fourth proportional to 40,257.96, 60,115.85 and 32,877.06 is: 49,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,257.96 : 60,115.85 = 32,877.06 : x
  2. Step 2: Convert to fraction form
    40,257.96/60,115.85 = 32,877.06/x
  3. Step 3: Cross multiply
    40,257.96x = 60,115.85 × 32,877.06
  4. Step 4: Simplify right side
    40,257.96x = 1,976,432,243.02
  5. Step 5: Solve for x
    x = 1,976,432,243.02/40,257.96
  6. Step 6: Final answer
    x = 49,094.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.