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Finding the Fourth Proportional to 31,796.07, 47,695.01 and 8,422.50

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Solution

The fourth proportional to 31,796.07, 47,695.01 and 8,422.50 is: 12,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.07 : 47,695.01 = 8,422.50 : x
  2. Step 2: Convert to fraction form
    31,796.07/47,695.01 = 8,422.50/x
  3. Step 3: Cross multiply
    31,796.07x = 47,695.01 × 8,422.50
  4. Step 4: Simplify right side
    31,796.07x = 401,711,179.61
  5. Step 5: Solve for x
    x = 401,711,179.61/31,796.07
  6. Step 6: Final answer
    x = 12,633.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.