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Finding the Fourth Proportional to 49,166.40, 67,848.32 and 27,658.48

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Solution

The fourth proportional to 49,166.40, 67,848.32 and 27,658.48 is: 38,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166.40 : 67,848.32 = 27,658.48 : x
  2. Step 2: Convert to fraction form
    49,166.40/67,848.32 = 27,658.48/x
  3. Step 3: Cross multiply
    49,166.40x = 67,848.32 × 27,658.48
  4. Step 4: Simplify right side
    49,166.40x = 1,876,581,401.75
  5. Step 5: Solve for x
    x = 1,876,581,401.75/49,166.40
  6. Step 6: Final answer
    x = 38,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.