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Finding the Fourth Proportional to 82,224.68, 113,470.41 and 44,498.93

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Solution

The fourth proportional to 82,224.68, 113,470.41 and 44,498.93 is: 61,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.68 : 113,470.41 = 44,498.93 : x
  2. Step 2: Convert to fraction form
    82,224.68/113,470.41 = 44,498.93/x
  3. Step 3: Cross multiply
    82,224.68x = 113,470.41 × 44,498.93
  4. Step 4: Simplify right side
    82,224.68x = 5,049,311,264.31
  5. Step 5: Solve for x
    x = 5,049,311,264.31/82,224.68
  6. Step 6: Final answer
    x = 61,408.71

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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.