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Finding the Fourth Proportional to 56,046.06, 77,349 and 41,874.30

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Solution

The fourth proportional to 56,046.06, 77,349 and 41,874.30 is: 57,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046.06 : 77,349 = 41,874.30 : x
  2. Step 2: Convert to fraction form
    56,046.06/77,349 = 41,874.30/x
  3. Step 3: Cross multiply
    56,046.06x = 77,349 × 41,874.30
  4. Step 4: Simplify right side
    56,046.06x = 3,238,935,230.70
  5. Step 5: Solve for x
    x = 3,238,935,230.70/56,046.06
  6. Step 6: Final answer
    x = 57,790.60

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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.