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Finding the Fourth Proportional to 31,631.54, 47,447.31 and 8,257.77

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Solution

The fourth proportional to 31,631.54, 47,447.31 and 8,257.77 is: 12,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631.54 : 47,447.31 = 8,257.77 : x
  2. Step 2: Convert to fraction form
    31,631.54/47,447.31 = 8,257.77/x
  3. Step 3: Cross multiply
    31,631.54x = 47,447.31 × 8,257.77
  4. Step 4: Simplify right side
    31,631.54x = 391,808,973.10
  5. Step 5: Solve for x
    x = 391,808,973.10/31,631.54
  6. Step 6: Final answer
    x = 12,386.66

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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.