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Finding the Fourth Proportional to 31,884.54, 47,806.27 and 15,244.20

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Solution

The fourth proportional to 31,884.54, 47,806.27 and 15,244.20 is: 22,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.54 : 47,806.27 = 15,244.20 : x
  2. Step 2: Convert to fraction form
    31,884.54/47,806.27 = 15,244.20/x
  3. Step 3: Cross multiply
    31,884.54x = 47,806.27 × 15,244.20
  4. Step 4: Simplify right side
    31,884.54x = 728,768,303.02
  5. Step 5: Solve for x
    x = 728,768,303.02/31,884.54
  6. Step 6: Final answer
    x = 22,856.48

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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.