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Finding the Fourth Proportional to 31,510.80, 47,201.40 and 15,937.20

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Solution

The fourth proportional to 31,510.80, 47,201.40 and 15,937.20 is: 23,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.80 : 47,201.40 = 15,937.20 : x
  2. Step 2: Convert to fraction form
    31,510.80/47,201.40 = 15,937.20/x
  3. Step 3: Cross multiply
    31,510.80x = 47,201.40 × 15,937.20
  4. Step 4: Simplify right side
    31,510.80x = 752,258,152.08
  5. Step 5: Solve for x
    x = 752,258,152.08/31,510.80
  6. Step 6: Final answer
    x = 23,873.03

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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.