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Finding the Fourth Proportional to 31,408, 43,340.48 and 17,976.18

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Solution

The fourth proportional to 31,408, 43,340.48 and 17,976.18 is: 24,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408 : 43,340.48 = 17,976.18 : x
  2. Step 2: Convert to fraction form
    31,408/43,340.48 = 17,976.18/x
  3. Step 3: Cross multiply
    31,408x = 43,340.48 × 17,976.18
  4. Step 4: Simplify right side
    31,408x = 779,096,269.77
  5. Step 5: Solve for x
    x = 779,096,269.77/31,408
  6. Step 6: Final answer
    x = 24,805.66

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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.