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Finding the Fourth Proportional to 31,378.56, 47,068.80 and 8,005.44

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Solution

The fourth proportional to 31,378.56, 47,068.80 and 8,005.44 is: 12,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.56 : 47,068.80 = 8,005.44 : x
  2. Step 2: Convert to fraction form
    31,378.56/47,068.80 = 8,005.44/x
  3. Step 3: Cross multiply
    31,378.56x = 47,068.80 × 8,005.44
  4. Step 4: Simplify right side
    31,378.56x = 376,806,454.27
  5. Step 5: Solve for x
    x = 376,806,454.27/31,378.56
  6. Step 6: Final answer
    x = 12,008.40

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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.