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Finding the Fourth Proportional to 31,862.80, 47,729.40 and 16,289.20

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Solution

The fourth proportional to 31,862.80, 47,729.40 and 16,289.20 is: 24,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.80 : 47,729.40 = 16,289.20 : x
  2. Step 2: Convert to fraction form
    31,862.80/47,729.40 = 16,289.20/x
  3. Step 3: Cross multiply
    31,862.80x = 47,729.40 × 16,289.20
  4. Step 4: Simplify right side
    31,862.80x = 777,473,742.48
  5. Step 5: Solve for x
    x = 777,473,742.48/31,862.80
  6. Step 6: Final answer
    x = 24,400.67

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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.