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Finding the Fourth Proportional to 31,494.98, 47,271.72 and 15,923.54

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Solution

The fourth proportional to 31,494.98, 47,271.72 and 15,923.54 is: 23,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.98 : 47,271.72 = 15,923.54 : x
  2. Step 2: Convert to fraction form
    31,494.98/47,271.72 = 15,923.54/x
  3. Step 3: Cross multiply
    31,494.98x = 47,271.72 × 15,923.54
  4. Step 4: Simplify right side
    31,494.98x = 752,733,124.29
  5. Step 5: Solve for x
    x = 752,733,124.29/31,494.98
  6. Step 6: Final answer
    x = 23,900.10

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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.