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Finding the Fourth Proportional to 83,707.72, 125,247.82 and 49,849.88

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Solution

The fourth proportional to 83,707.72, 125,247.82 and 49,849.88 is: 74,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.72 : 125,247.82 = 49,849.88 : x
  2. Step 2: Convert to fraction form
    83,707.72/125,247.82 = 49,849.88/x
  3. Step 3: Cross multiply
    83,707.72x = 125,247.82 × 49,849.88
  4. Step 4: Simplify right side
    83,707.72x = 6,243,588,797.26
  5. Step 5: Solve for x
    x = 6,243,588,797.26/83,707.72
  6. Step 6: Final answer
    x = 74,587.97

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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.