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Finding the Fourth Proportional to 31,418.80, 47,126.60 and 10,642.48

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Solution

The fourth proportional to 31,418.80, 47,126.60 and 10,642.48 is: 15,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.80 : 47,126.60 = 10,642.48 : x
  2. Step 2: Convert to fraction form
    31,418.80/47,126.60 = 10,642.48/x
  3. Step 3: Cross multiply
    31,418.80x = 47,126.60 × 10,642.48
  4. Step 4: Simplify right side
    31,418.80x = 501,543,897.97
  5. Step 5: Solve for x
    x = 501,543,897.97/31,418.80
  6. Step 6: Final answer
    x = 15,963.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.