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Finding the Fourth Proportional to 31,687.74, 47,527.29 and 8,312.22

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Solution

The fourth proportional to 31,687.74, 47,527.29 and 8,312.22 is: 12,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.74 : 47,527.29 = 8,312.22 : x
  2. Step 2: Convert to fraction form
    31,687.74/47,527.29 = 8,312.22/x
  3. Step 3: Cross multiply
    31,687.74x = 47,527.29 × 8,312.22
  4. Step 4: Simplify right side
    31,687.74x = 395,057,290.48
  5. Step 5: Solve for x
    x = 395,057,290.48/31,687.74
  6. Step 6: Final answer
    x = 12,467.20

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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.