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Finding the Fourth Proportional to 82,215, 113,456.80 and 44,489.25

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Solution

The fourth proportional to 82,215, 113,456.80 and 44,489.25 is: 61,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215 : 113,456.80 = 44,489.25 : x
  2. Step 2: Convert to fraction form
    82,215/113,456.80 = 44,489.25/x
  3. Step 3: Cross multiply
    82,215x = 113,456.80 × 44,489.25
  4. Step 4: Simplify right side
    82,215x = 5,047,607,995.01
  5. Step 5: Solve for x
    x = 5,047,607,995.01/82,215
  6. Step 6: Final answer
    x = 61,395.22

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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.