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Finding the Fourth Proportional to 82,231.59, 113,480.54 and 48,240.65

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Solution

The fourth proportional to 82,231.59, 113,480.54 and 48,240.65 is: 66,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.59 : 113,480.54 = 48,240.65 : x
  2. Step 2: Convert to fraction form
    82,231.59/113,480.54 = 48,240.65/x
  3. Step 3: Cross multiply
    82,231.59x = 113,480.54 × 48,240.65
  4. Step 4: Simplify right side
    82,231.59x = 5,474,375,477.23
  5. Step 5: Solve for x
    x = 5,474,375,477.23/82,231.59
  6. Step 6: Final answer
    x = 66,572.66

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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.