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Finding the Fourth Proportional to 84,473.82, 126,738.88 and 28,319.48

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Solution

The fourth proportional to 84,473.82, 126,738.88 and 28,319.48 is: 42,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,473.82 : 126,738.88 = 28,319.48 : x
  2. Step 2: Convert to fraction form
    84,473.82/126,738.88 = 28,319.48/x
  3. Step 3: Cross multiply
    84,473.82x = 126,738.88 × 28,319.48
  4. Step 4: Simplify right side
    84,473.82x = 3,589,179,177.38
  5. Step 5: Solve for x
    x = 3,589,179,177.38/84,473.82
  6. Step 6: Final answer
    x = 42,488.66

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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.