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Finding the Fourth Proportional to 31,808.20, 47,712.30 and 16,223.80

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Solution

The fourth proportional to 31,808.20, 47,712.30 and 16,223.80 is: 24,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.20 : 47,712.30 = 16,223.80 : x
  2. Step 2: Convert to fraction form
    31,808.20/47,712.30 = 16,223.80/x
  3. Step 3: Cross multiply
    31,808.20x = 47,712.30 × 16,223.80
  4. Step 4: Simplify right side
    31,808.20x = 774,074,812.74
  5. Step 5: Solve for x
    x = 774,074,812.74/31,808.20
  6. Step 6: Final answer
    x = 24,335.70

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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.