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Finding the Fourth Proportional to 57,801.16, 86,695.44 and 39,200.68

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Solution

The fourth proportional to 57,801.16, 86,695.44 and 39,200.68 is: 58,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,801.16 : 86,695.44 = 39,200.68 : x
  2. Step 2: Convert to fraction form
    57,801.16/86,695.44 = 39,200.68/x
  3. Step 3: Cross multiply
    57,801.16x = 86,695.44 × 39,200.68
  4. Step 4: Simplify right side
    57,801.16x = 3,398,520,200.90
  5. Step 5: Solve for x
    x = 3,398,520,200.90/57,801.16
  6. Step 6: Final answer
    x = 58,796.75

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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.