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Finding the Fourth Proportional to 57,193.64, 85,801.92 and 19,755.08

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Solution

The fourth proportional to 57,193.64, 85,801.92 and 19,755.08 is: 29,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.64 : 85,801.92 = 19,755.08 : x
  2. Step 2: Convert to fraction form
    57,193.64/85,801.92 = 19,755.08/x
  3. Step 3: Cross multiply
    57,193.64x = 85,801.92 × 19,755.08
  4. Step 4: Simplify right side
    57,193.64x = 1,695,023,793.75
  5. Step 5: Solve for x
    x = 1,695,023,793.75/57,193.64
  6. Step 6: Final answer
    x = 29,636.58

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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.