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Finding the Fourth Proportional to 31,815.60, 47,723.40 and 8,123.10

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Solution

The fourth proportional to 31,815.60, 47,723.40 and 8,123.10 is: 12,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815.60 : 47,723.40 = 8,123.10 : x
  2. Step 2: Convert to fraction form
    31,815.60/47,723.40 = 8,123.10/x
  3. Step 3: Cross multiply
    31,815.60x = 47,723.40 × 8,123.10
  4. Step 4: Simplify right side
    31,815.60x = 387,661,950.54
  5. Step 5: Solve for x
    x = 387,661,950.54/31,815.60
  6. Step 6: Final answer
    x = 12,184.65

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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.