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Finding the Fourth Proportional to 31,508.79, 47,271.23 and 10,454.70

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Solution

The fourth proportional to 31,508.79, 47,271.23 and 10,454.70 is: 15,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.79 : 47,271.23 = 10,454.70 : x
  2. Step 2: Convert to fraction form
    31,508.79/47,271.23 = 10,454.70/x
  3. Step 3: Cross multiply
    31,508.79x = 47,271.23 × 10,454.70
  4. Step 4: Simplify right side
    31,508.79x = 494,206,476.01
  5. Step 5: Solve for x
    x = 494,206,476.01/31,508.79
  6. Step 6: Final answer
    x = 15,684.72

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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.