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Finding the Fourth Proportional to 31,397.58, 43,348.68 and 21,834

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Solution

The fourth proportional to 31,397.58, 43,348.68 and 21,834 is: 30,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.58 : 43,348.68 = 21,834 : x
  2. Step 2: Convert to fraction form
    31,397.58/43,348.68 = 21,834/x
  3. Step 3: Cross multiply
    31,397.58x = 43,348.68 × 21,834
  4. Step 4: Simplify right side
    31,397.58x = 946,475,079.12
  5. Step 5: Solve for x
    x = 946,475,079.12/31,397.58
  6. Step 6: Final answer
    x = 30,144.84

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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.