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Finding the Fourth Proportional to 31,422.79, 47,168.34 and 12,715.71

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Solution

The fourth proportional to 31,422.79, 47,168.34 and 12,715.71 is: 19,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.79 : 47,168.34 = 12,715.71 : x
  2. Step 2: Convert to fraction form
    31,422.79/47,168.34 = 12,715.71/x
  3. Step 3: Cross multiply
    31,422.79x = 47,168.34 × 12,715.71
  4. Step 4: Simplify right side
    31,422.79x = 599,778,932.62
  5. Step 5: Solve for x
    x = 599,778,932.62/31,422.79
  6. Step 6: Final answer
    x = 19,087.39

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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.