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Finding the Fourth Proportional to 68,442.57, 94,448.82 and 38,227

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Solution

The fourth proportional to 68,442.57, 94,448.82 and 38,227 is: 52,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,442.57 : 94,448.82 = 38,227 : x
  2. Step 2: Convert to fraction form
    68,442.57/94,448.82 = 38,227/x
  3. Step 3: Cross multiply
    68,442.57x = 94,448.82 × 38,227
  4. Step 4: Simplify right side
    68,442.57x = 3,610,495,042.14
  5. Step 5: Solve for x
    x = 3,610,495,042.14/68,442.57
  6. Step 6: Final answer
    x = 52,752.18

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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.