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Finding the Fourth Proportional to 31,478.90, 47,218.82 and 8,105.36

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Solution

The fourth proportional to 31,478.90, 47,218.82 and 8,105.36 is: 12,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.90 : 47,218.82 = 8,105.36 : x
  2. Step 2: Convert to fraction form
    31,478.90/47,218.82 = 8,105.36/x
  3. Step 3: Cross multiply
    31,478.90x = 47,218.82 × 8,105.36
  4. Step 4: Simplify right side
    31,478.90x = 382,725,258.25
  5. Step 5: Solve for x
    x = 382,725,258.25/31,478.90
  6. Step 6: Final answer
    x = 12,158.15

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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.