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Finding the Fourth Proportional to 82,377, 113,680.26 and 44,651.25

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Solution

The fourth proportional to 82,377, 113,680.26 and 44,651.25 is: 61,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377 : 113,680.26 = 44,651.25 : x
  2. Step 2: Convert to fraction form
    82,377/113,680.26 = 44,651.25/x
  3. Step 3: Cross multiply
    82,377x = 113,680.26 × 44,651.25
  4. Step 4: Simplify right side
    82,377x = 5,075,965,709.33
  5. Step 5: Solve for x
    x = 5,075,965,709.33/82,377
  6. Step 6: Final answer
    x = 61,618.73

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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.