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Finding the Fourth Proportional to 31,631.69, 47,446.62 and 8,258.13

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Solution

The fourth proportional to 31,631.69, 47,446.62 and 8,258.13 is: 12,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631.69 : 47,446.62 = 8,258.13 : x
  2. Step 2: Convert to fraction form
    31,631.69/47,446.62 = 8,258.13/x
  3. Step 3: Cross multiply
    31,631.69x = 47,446.62 × 8,258.13
  4. Step 4: Simplify right side
    31,631.69x = 391,820,325.05
  5. Step 5: Solve for x
    x = 391,820,325.05/31,631.69
  6. Step 6: Final answer
    x = 12,386.95

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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.