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Finding the Fourth Proportional to 69,414.84, 95,782.14 and 39,199.56

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Solution

The fourth proportional to 69,414.84, 95,782.14 and 39,199.56 is: 54,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,414.84 : 95,782.14 = 39,199.56 : x
  2. Step 2: Convert to fraction form
    69,414.84/95,782.14 = 39,199.56/x
  3. Step 3: Cross multiply
    69,414.84x = 95,782.14 × 39,199.56
  4. Step 4: Simplify right side
    69,414.84x = 3,754,617,743.86
  5. Step 5: Solve for x
    x = 3,754,617,743.86/69,414.84
  6. Step 6: Final answer
    x = 54,089.55

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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.