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Finding the Fourth Proportional to 57,902.60, 86,882.70 and 22,843.40

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Solution

The fourth proportional to 57,902.60, 86,882.70 and 22,843.40 is: 34,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.60 : 86,882.70 = 22,843.40 : x
  2. Step 2: Convert to fraction form
    57,902.60/86,882.70 = 22,843.40/x
  3. Step 3: Cross multiply
    57,902.60x = 86,882.70 × 22,843.40
  4. Step 4: Simplify right side
    57,902.60x = 1,984,696,269.18
  5. Step 5: Solve for x
    x = 1,984,696,269.18/57,902.60
  6. Step 6: Final answer
    x = 34,276.46

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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.