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Finding the Fourth Proportional to 84,475.86, 126,695.43 and 25,295.64

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Solution

The fourth proportional to 84,475.86, 126,695.43 and 25,295.64 is: 37,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,475.86 : 126,695.43 = 25,295.64 : x
  2. Step 2: Convert to fraction form
    84,475.86/126,695.43 = 25,295.64/x
  3. Step 3: Cross multiply
    84,475.86x = 126,695.43 × 25,295.64
  4. Step 4: Simplify right side
    84,475.86x = 3,204,841,986.93
  5. Step 5: Solve for x
    x = 3,204,841,986.93/84,475.86
  6. Step 6: Final answer
    x = 37,937.96

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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.