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Finding the Fourth Proportional to 31,744.32, 47,612.64 and 8,372.52

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Solution

The fourth proportional to 31,744.32, 47,612.64 and 8,372.52 is: 12,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.32 : 47,612.64 = 8,372.52 : x
  2. Step 2: Convert to fraction form
    31,744.32/47,612.64 = 8,372.52/x
  3. Step 3: Cross multiply
    31,744.32x = 47,612.64 × 8,372.52
  4. Step 4: Simplify right side
    31,744.32x = 398,637,780.65
  5. Step 5: Solve for x
    x = 398,637,780.65/31,744.32
  6. Step 6: Final answer
    x = 12,557.77

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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.