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Finding the Fourth Proportional to 82,077.54, 113,112.30 and 59,377.95

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Solution

The fourth proportional to 82,077.54, 113,112.30 and 59,377.95 is: 81,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077.54 : 113,112.30 = 59,377.95 : x
  2. Step 2: Convert to fraction form
    82,077.54/113,112.30 = 59,377.95/x
  3. Step 3: Cross multiply
    82,077.54x = 113,112.30 × 59,377.95
  4. Step 4: Simplify right side
    82,077.54x = 6,716,376,493.79
  5. Step 5: Solve for x
    x = 6,716,376,493.79/82,077.54
  6. Step 6: Final answer
    x = 81,829.65

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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.