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Finding the Fourth Proportional to 31,710.39, 47,561.80 and 8,338.65

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Solution

The fourth proportional to 31,710.39, 47,561.80 and 8,338.65 is: 12,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.39 : 47,561.80 = 8,338.65 : x
  2. Step 2: Convert to fraction form
    31,710.39/47,561.80 = 8,338.65/x
  3. Step 3: Cross multiply
    31,710.39x = 47,561.80 × 8,338.65
  4. Step 4: Simplify right side
    31,710.39x = 396,601,203.57
  5. Step 5: Solve for x
    x = 396,601,203.57/31,710.39
  6. Step 6: Final answer
    x = 12,506.98

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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.