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Finding the Fourth Proportional to 31,680.88, 47,498.16 and 20,598.64

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Solution

The fourth proportional to 31,680.88, 47,498.16 and 20,598.64 is: 30,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.88 : 47,498.16 = 20,598.64 : x
  2. Step 2: Convert to fraction form
    31,680.88/47,498.16 = 20,598.64/x
  3. Step 3: Cross multiply
    31,680.88x = 47,498.16 × 20,598.64
  4. Step 4: Simplify right side
    31,680.88x = 978,397,498.50
  5. Step 5: Solve for x
    x = 978,397,498.50/31,680.88
  6. Step 6: Final answer
    x = 30,882.90

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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.