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Finding the Fourth Proportional to 31,454.82, 47,185.20 and 10,395

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Solution

The fourth proportional to 31,454.82, 47,185.20 and 10,395 is: 15,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454.82 : 47,185.20 = 10,395 : x
  2. Step 2: Convert to fraction form
    31,454.82/47,185.20 = 10,395/x
  3. Step 3: Cross multiply
    31,454.82x = 47,185.20 × 10,395
  4. Step 4: Simplify right side
    31,454.82x = 490,490,154.00
  5. Step 5: Solve for x
    x = 490,490,154.00/31,454.82
  6. Step 6: Final answer
    x = 15,593.48

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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.