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Finding the Fourth Proportional to 82,054.15, 113,272.50 and 48,057.91

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Solution

The fourth proportional to 82,054.15, 113,272.50 and 48,057.91 is: 66,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,054.15 : 113,272.50 = 48,057.91 : x
  2. Step 2: Convert to fraction form
    82,054.15/113,272.50 = 48,057.91/x
  3. Step 3: Cross multiply
    82,054.15x = 113,272.50 × 48,057.91
  4. Step 4: Simplify right side
    82,054.15x = 5,443,639,610.48
  5. Step 5: Solve for x
    x = 5,443,639,610.48/82,054.15
  6. Step 6: Final answer
    x = 66,342.04

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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.