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Finding the Fourth Proportional to 57,203.89, 85,796.65 and 15,641.17

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Solution

The fourth proportional to 57,203.89, 85,796.65 and 15,641.17 is: 23,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.89 : 85,796.65 = 15,641.17 : x
  2. Step 2: Convert to fraction form
    57,203.89/85,796.65 = 15,641.17/x
  3. Step 3: Cross multiply
    57,203.89x = 85,796.65 × 15,641.17
  4. Step 4: Simplify right side
    57,203.89x = 1,341,959,793.14
  5. Step 5: Solve for x
    x = 1,341,959,793.14/57,203.89
  6. Step 6: Final answer
    x = 23,459.24

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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.