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Finding the Fourth Proportional to 31,796.56, 47,695.76 and 8,423

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Solution

The fourth proportional to 31,796.56, 47,695.76 and 8,423 is: 12,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.56 : 47,695.76 = 8,423 : x
  2. Step 2: Convert to fraction form
    31,796.56/47,695.76 = 8,423/x
  3. Step 3: Cross multiply
    31,796.56x = 47,695.76 × 8,423
  4. Step 4: Simplify right side
    31,796.56x = 401,741,386.48
  5. Step 5: Solve for x
    x = 401,741,386.48/31,796.56
  6. Step 6: Final answer
    x = 12,634.74

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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.