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Finding the Fourth Proportional to 45,791.50, 63,188.80 and 27,884.52

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Solution

The fourth proportional to 45,791.50, 63,188.80 and 27,884.52 is: 38,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,791.50 : 63,188.80 = 27,884.52 : x
  2. Step 2: Convert to fraction form
    45,791.50/63,188.80 = 27,884.52/x
  3. Step 3: Cross multiply
    45,791.50x = 63,188.80 × 27,884.52
  4. Step 4: Simplify right side
    45,791.50x = 1,761,989,357.38
  5. Step 5: Solve for x
    x = 1,761,989,357.38/45,791.50
  6. Step 6: Final answer
    x = 38,478.52

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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.