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Finding the Fourth Proportional to 82,085.49, 113,278.04 and 44,359.74

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Solution

The fourth proportional to 82,085.49, 113,278.04 and 44,359.74 is: 61,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,085.49 : 113,278.04 = 44,359.74 : x
  2. Step 2: Convert to fraction form
    82,085.49/113,278.04 = 44,359.74/x
  3. Step 3: Cross multiply
    82,085.49x = 113,278.04 × 44,359.74
  4. Step 4: Simplify right side
    82,085.49x = 5,024,984,180.31
  5. Step 5: Solve for x
    x = 5,024,984,180.31/82,085.49
  6. Step 6: Final answer
    x = 61,216.47

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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.