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Finding the Fourth Proportional to 82,081, 113,272.05 and 44,355.52

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Solution

The fourth proportional to 82,081, 113,272.05 and 44,355.52 is: 61,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,081 : 113,272.05 = 44,355.52 : x
  2. Step 2: Convert to fraction form
    82,081/113,272.05 = 44,355.52/x
  3. Step 3: Cross multiply
    82,081x = 113,272.05 × 44,355.52
  4. Step 4: Simplify right side
    82,081x = 5,024,240,679.22
  5. Step 5: Solve for x
    x = 5,024,240,679.22/82,081
  6. Step 6: Final answer
    x = 61,210.76

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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.