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Finding the Fourth Proportional to 51,805.96, 71,182.41 and 41,177.14

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Solution

The fourth proportional to 51,805.96, 71,182.41 and 41,177.14 is: 56,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.96 : 71,182.41 = 41,177.14 : x
  2. Step 2: Convert to fraction form
    51,805.96/71,182.41 = 41,177.14/x
  3. Step 3: Cross multiply
    51,805.96x = 71,182.41 × 41,177.14
  4. Step 4: Simplify right side
    51,805.96x = 2,931,088,062.11
  5. Step 5: Solve for x
    x = 2,931,088,062.11/51,805.96
  6. Step 6: Final answer
    x = 56,578.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.