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Finding the Fourth Proportional to 31,902.34, 47,736.49 and 26,624.32

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Solution

The fourth proportional to 31,902.34, 47,736.49 and 26,624.32 is: 39,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.34 : 47,736.49 = 26,624.32 : x
  2. Step 2: Convert to fraction form
    31,902.34/47,736.49 = 26,624.32/x
  3. Step 3: Cross multiply
    31,902.34x = 47,736.49 × 26,624.32
  4. Step 4: Simplify right side
    31,902.34x = 1,270,951,585.44
  5. Step 5: Solve for x
    x = 1,270,951,585.44/31,902.34
  6. Step 6: Final answer
    x = 39,838.82

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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.