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Finding the Fourth Proportional to 82,377.84, 113,662.20 and 48,384.48

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Solution

The fourth proportional to 82,377.84, 113,662.20 and 48,384.48 is: 66,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377.84 : 113,662.20 = 48,384.48 : x
  2. Step 2: Convert to fraction form
    82,377.84/113,662.20 = 48,384.48/x
  3. Step 3: Cross multiply
    82,377.84x = 113,662.20 × 48,384.48
  4. Step 4: Simplify right side
    82,377.84x = 5,499,486,442.66
  5. Step 5: Solve for x
    x = 5,499,486,442.66/82,377.84
  6. Step 6: Final answer
    x = 66,759.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.