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Finding the Fourth Proportional to 57,657.57, 86,482.90 and 22,135.87

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Solution

The fourth proportional to 57,657.57, 86,482.90 and 22,135.87 is: 33,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.57 : 86,482.90 = 22,135.87 : x
  2. Step 2: Convert to fraction form
    57,657.57/86,482.90 = 22,135.87/x
  3. Step 3: Cross multiply
    57,657.57x = 86,482.90 × 22,135.87
  4. Step 4: Simplify right side
    57,657.57x = 1,914,374,231.62
  5. Step 5: Solve for x
    x = 1,914,374,231.62/57,657.57
  6. Step 6: Final answer
    x = 33,202.48

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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.