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Finding the Fourth Proportional to 31,510.80, 47,266.20 and 13,982.40

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Solution

The fourth proportional to 31,510.80, 47,266.20 and 13,982.40 is: 20,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.80 : 47,266.20 = 13,982.40 : x
  2. Step 2: Convert to fraction form
    31,510.80/47,266.20 = 13,982.40/x
  3. Step 3: Cross multiply
    31,510.80x = 47,266.20 × 13,982.40
  4. Step 4: Simplify right side
    31,510.80x = 660,894,914.88
  5. Step 5: Solve for x
    x = 660,894,914.88/31,510.80
  6. Step 6: Final answer
    x = 20,973.60

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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.