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Finding the Fourth Proportional to 36,202.69, 49,907.36 and 25,414.71

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Solution

The fourth proportional to 36,202.69, 49,907.36 and 25,414.71 is: 35,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.69 : 49,907.36 = 25,414.71 : x
  2. Step 2: Convert to fraction form
    36,202.69/49,907.36 = 25,414.71/x
  3. Step 3: Cross multiply
    36,202.69x = 49,907.36 × 25,414.71
  4. Step 4: Simplify right side
    36,202.69x = 1,268,381,248.82
  5. Step 5: Solve for x
    x = 1,268,381,248.82/36,202.69
  6. Step 6: Final answer
    x = 35,035.55

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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.