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Finding the Fourth Proportional to 31,712.16, 43,757.52 and 20,384.16

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Solution

The fourth proportional to 31,712.16, 43,757.52 and 20,384.16 is: 28,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.16 : 43,757.52 = 20,384.16 : x
  2. Step 2: Convert to fraction form
    31,712.16/43,757.52 = 20,384.16/x
  3. Step 3: Cross multiply
    31,712.16x = 43,757.52 × 20,384.16
  4. Step 4: Simplify right side
    31,712.16x = 891,960,288.88
  5. Step 5: Solve for x
    x = 891,960,288.88/31,712.16
  6. Step 6: Final answer
    x = 28,126.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.