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Finding the Fourth Proportional to 82,085.32, 113,278.26 and 44,359.48

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Solution

The fourth proportional to 82,085.32, 113,278.26 and 44,359.48 is: 61,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,085.32 : 113,278.26 = 44,359.48 : x
  2. Step 2: Convert to fraction form
    82,085.32/113,278.26 = 44,359.48/x
  3. Step 3: Cross multiply
    82,085.32x = 113,278.26 × 44,359.48
  4. Step 4: Simplify right side
    82,085.32x = 5,024,964,708.90
  5. Step 5: Solve for x
    x = 5,024,964,708.90/82,085.32
  6. Step 6: Final answer
    x = 61,216.36

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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.