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Finding the Fourth Proportional to 57,912.70, 86,878.65 and 24,648.70

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Solution

The fourth proportional to 57,912.70, 86,878.65 and 24,648.70 is: 36,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,912.70 : 86,878.65 = 24,648.70 : x
  2. Step 2: Convert to fraction form
    57,912.70/86,878.65 = 24,648.70/x
  3. Step 3: Cross multiply
    57,912.70x = 86,878.65 × 24,648.70
  4. Step 4: Simplify right side
    57,912.70x = 2,141,445,780.26
  5. Step 5: Solve for x
    x = 2,141,445,780.26/57,912.70
  6. Step 6: Final answer
    x = 36,977.14

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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.