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Finding the Fourth Proportional to 31,633.49, 47,420.89 and 15,001.31

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Solution

The fourth proportional to 31,633.49, 47,420.89 and 15,001.31 is: 22,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.49 : 47,420.89 = 15,001.31 : x
  2. Step 2: Convert to fraction form
    31,633.49/47,420.89 = 15,001.31/x
  3. Step 3: Cross multiply
    31,633.49x = 47,420.89 × 15,001.31
  4. Step 4: Simplify right side
    31,633.49x = 711,375,471.37
  5. Step 5: Solve for x
    x = 711,375,471.37/31,633.49
  6. Step 6: Final answer
    x = 22,488.05

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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.