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Finding the Fourth Proportional to 31,870.70, 47,806.03 and 15,180.13

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Solution

The fourth proportional to 31,870.70, 47,806.03 and 15,180.13 is: 22,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.70 : 47,806.03 = 15,180.13 : x
  2. Step 2: Convert to fraction form
    31,870.70/47,806.03 = 15,180.13/x
  3. Step 3: Cross multiply
    31,870.70x = 47,806.03 × 15,180.13
  4. Step 4: Simplify right side
    31,870.70x = 725,701,560.01
  5. Step 5: Solve for x
    x = 725,701,560.01/31,870.70
  6. Step 6: Final answer
    x = 22,770.18

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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.