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Finding the Fourth Proportional to 57,451.20, 86,202 and 22,378.74

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Solution

The fourth proportional to 57,451.20, 86,202 and 22,378.74 is: 33,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,451.20 : 86,202 = 22,378.74 : x
  2. Step 2: Convert to fraction form
    57,451.20/86,202 = 22,378.74/x
  3. Step 3: Cross multiply
    57,451.20x = 86,202 × 22,378.74
  4. Step 4: Simplify right side
    57,451.20x = 1,929,092,145.48
  5. Step 5: Solve for x
    x = 1,929,092,145.48/57,451.20
  6. Step 6: Final answer
    x = 33,577.93

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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.