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Finding the Fourth Proportional to 31,518.56, 47,275.68 and 8,144.12

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Solution

The fourth proportional to 31,518.56, 47,275.68 and 8,144.12 is: 12,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.56 : 47,275.68 = 8,144.12 : x
  2. Step 2: Convert to fraction form
    31,518.56/47,275.68 = 8,144.12/x
  3. Step 3: Cross multiply
    31,518.56x = 47,275.68 × 8,144.12
  4. Step 4: Simplify right side
    31,518.56x = 385,018,811.00
  5. Step 5: Solve for x
    x = 385,018,811.00/31,518.56
  6. Step 6: Final answer
    x = 12,215.62

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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.