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Finding the Fourth Proportional to 31,834.82, 43,945.52 and 21,488.81

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Solution

The fourth proportional to 31,834.82, 43,945.52 and 21,488.81 is: 29,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.82 : 43,945.52 = 21,488.81 : x
  2. Step 2: Convert to fraction form
    31,834.82/43,945.52 = 21,488.81/x
  3. Step 3: Cross multiply
    31,834.82x = 43,945.52 × 21,488.81
  4. Step 4: Simplify right side
    31,834.82x = 944,336,822.19
  5. Step 5: Solve for x
    x = 944,336,822.19/31,834.82
  6. Step 6: Final answer
    x = 29,663.65

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