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Finding the Fourth Proportional to 31,418.70, 47,123.16 and 20,403.48

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Solution

The fourth proportional to 31,418.70, 47,123.16 and 20,403.48 is: 30,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.70 : 47,123.16 = 20,403.48 : x
  2. Step 2: Convert to fraction form
    31,418.70/47,123.16 = 20,403.48/x
  3. Step 3: Cross multiply
    31,418.70x = 47,123.16 × 20,403.48
  4. Step 4: Simplify right side
    31,418.70x = 961,476,452.60
  5. Step 5: Solve for x
    x = 961,476,452.60/31,418.70
  6. Step 6: Final answer
    x = 30,602.04

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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.