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Finding the Fourth Proportional to 41,836, 57,733.74 and 22,974.40

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Solution

The fourth proportional to 41,836, 57,733.74 and 22,974.40 is: 31,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836 : 57,733.74 = 22,974.40 : x
  2. Step 2: Convert to fraction form
    41,836/57,733.74 = 22,974.40/x
  3. Step 3: Cross multiply
    41,836x = 57,733.74 × 22,974.40
  4. Step 4: Simplify right side
    41,836x = 1,326,398,036.26
  5. Step 5: Solve for x
    x = 1,326,398,036.26/41,836
  6. Step 6: Final answer
    x = 31,704.70

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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.