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Finding the Fourth Proportional to 82,238.76, 113,490.46 and 48,247.84

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Solution

The fourth proportional to 82,238.76, 113,490.46 and 48,247.84 is: 66,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238.76 : 113,490.46 = 48,247.84 : x
  2. Step 2: Convert to fraction form
    82,238.76/113,490.46 = 48,247.84/x
  3. Step 3: Cross multiply
    82,238.76x = 113,490.46 × 48,247.84
  4. Step 4: Simplify right side
    82,238.76x = 5,475,669,555.61
  5. Step 5: Solve for x
    x = 5,475,669,555.61/82,238.76
  6. Step 6: Final answer
    x = 66,582.59

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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.