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Finding the Fourth Proportional to 31,648.83, 43,678.38 and 18,901.90

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Solution

The fourth proportional to 31,648.83, 43,678.38 and 18,901.90 is: 26,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.83 : 43,678.38 = 18,901.90 : x
  2. Step 2: Convert to fraction form
    31,648.83/43,678.38 = 18,901.90/x
  3. Step 3: Cross multiply
    31,648.83x = 43,678.38 × 18,901.90
  4. Step 4: Simplify right side
    31,648.83x = 825,604,370.92
  5. Step 5: Solve for x
    x = 825,604,370.92/31,648.83
  6. Step 6: Final answer
    x = 26,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.