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Finding the Fourth Proportional to 31,498.92, 47,215.98 and 13,977

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Solution

The fourth proportional to 31,498.92, 47,215.98 and 13,977 is: 20,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.92 : 47,215.98 = 13,977 : x
  2. Step 2: Convert to fraction form
    31,498.92/47,215.98 = 13,977/x
  3. Step 3: Cross multiply
    31,498.92x = 47,215.98 × 13,977
  4. Step 4: Simplify right side
    31,498.92x = 659,937,752.46
  5. Step 5: Solve for x
    x = 659,937,752.46/31,498.92
  6. Step 6: Final answer
    x = 20,951.12

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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.