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Finding the Fourth Proportional to 82,216.32, 113,458.83 and 44,490.57

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Solution

The fourth proportional to 82,216.32, 113,458.83 and 44,490.57 is: 61,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.32 : 113,458.83 = 44,490.57 : x
  2. Step 2: Convert to fraction form
    82,216.32/113,458.83 = 44,490.57/x
  3. Step 3: Cross multiply
    82,216.32x = 113,458.83 × 44,490.57
  4. Step 4: Simplify right side
    82,216.32x = 5,047,848,018.23
  5. Step 5: Solve for x
    x = 5,047,848,018.23/82,216.32
  6. Step 6: Final answer
    x = 61,397.15

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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.