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Finding the Fourth Proportional to 31,490.48, 47,252.20 and 20,394.30

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Solution

The fourth proportional to 31,490.48, 47,252.20 and 20,394.30 is: 30,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.48 : 47,252.20 = 20,394.30 : x
  2. Step 2: Convert to fraction form
    31,490.48/47,252.20 = 20,394.30/x
  3. Step 3: Cross multiply
    31,490.48x = 47,252.20 × 20,394.30
  4. Step 4: Simplify right side
    31,490.48x = 963,675,542.46
  5. Step 5: Solve for x
    x = 963,675,542.46/31,490.48
  6. Step 6: Final answer
    x = 30,602.12

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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.