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Finding the Fourth Proportional to 57,464.64, 86,209.92 and 22,427.28

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Solution

The fourth proportional to 57,464.64, 86,209.92 and 22,427.28 is: 33,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464.64 : 86,209.92 = 22,427.28 : x
  2. Step 2: Convert to fraction form
    57,464.64/86,209.92 = 22,427.28/x
  3. Step 3: Cross multiply
    57,464.64x = 86,209.92 × 22,427.28
  4. Step 4: Simplify right side
    57,464.64x = 1,933,454,014.62
  5. Step 5: Solve for x
    x = 1,933,454,014.62/57,464.64
  6. Step 6: Final answer
    x = 33,645.98

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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.