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Finding the Fourth Proportional to 75,877.76, 113,874.72 and 34,353.92

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Solution

The fourth proportional to 75,877.76, 113,874.72 and 34,353.92 is: 51,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.76 : 113,874.72 = 34,353.92 : x
  2. Step 2: Convert to fraction form
    75,877.76/113,874.72 = 34,353.92/x
  3. Step 3: Cross multiply
    75,877.76x = 113,874.72 × 34,353.92
  4. Step 4: Simplify right side
    75,877.76x = 3,912,043,020.90
  5. Step 5: Solve for x
    x = 3,912,043,020.90/75,877.76
  6. Step 6: Final answer
    x = 51,557.18

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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.