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Finding the Fourth Proportional to 82,216.46, 113,459 and 44,490.70

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Solution

The fourth proportional to 82,216.46, 113,459 and 44,490.70 is: 61,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.46 : 113,459 = 44,490.70 : x
  2. Step 2: Convert to fraction form
    82,216.46/113,459 = 44,490.70/x
  3. Step 3: Cross multiply
    82,216.46x = 113,459 × 44,490.70
  4. Step 4: Simplify right side
    82,216.46x = 5,047,870,331.30
  5. Step 5: Solve for x
    x = 5,047,870,331.30/82,216.46
  6. Step 6: Final answer
    x = 61,397.32

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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.