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Finding the Fourth Proportional to 31,951.40, 47,927.10 and 8,258.90

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Solution

The fourth proportional to 31,951.40, 47,927.10 and 8,258.90 is: 12,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.40 : 47,927.10 = 8,258.90 : x
  2. Step 2: Convert to fraction form
    31,951.40/47,927.10 = 8,258.90/x
  3. Step 3: Cross multiply
    31,951.40x = 47,927.10 × 8,258.90
  4. Step 4: Simplify right side
    31,951.40x = 395,825,126.19
  5. Step 5: Solve for x
    x = 395,825,126.19/31,951.40
  6. Step 6: Final answer
    x = 12,388.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.