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Finding the Fourth Proportional to 82,249.95, 123,424.29 and 35,502.78

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Solution

The fourth proportional to 82,249.95, 123,424.29 and 35,502.78 is: 53,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,249.95 : 123,424.29 = 35,502.78 : x
  2. Step 2: Convert to fraction form
    82,249.95/123,424.29 = 35,502.78/x
  3. Step 3: Cross multiply
    82,249.95x = 123,424.29 × 35,502.78
  4. Step 4: Simplify right side
    82,249.95x = 4,381,905,414.53
  5. Step 5: Solve for x
    x = 4,381,905,414.53/82,249.95
  6. Step 6: Final answer
    x = 53,275.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.