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Finding the Fourth Proportional to 31,405.20, 47,102.88 and 20,389.98

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Solution

The fourth proportional to 31,405.20, 47,102.88 and 20,389.98 is: 30,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.20 : 47,102.88 = 20,389.98 : x
  2. Step 2: Convert to fraction form
    31,405.20/47,102.88 = 20,389.98/x
  3. Step 3: Cross multiply
    31,405.20x = 47,102.88 × 20,389.98
  4. Step 4: Simplify right side
    31,405.20x = 960,426,781.14
  5. Step 5: Solve for x
    x = 960,426,781.14/31,405.20
  6. Step 6: Final answer
    x = 30,581.78

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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.