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Finding the Fourth Proportional to 96,680.57, 133,418.63 and 54,239

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Solution

The fourth proportional to 96,680.57, 133,418.63 and 54,239 is: 74,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,680.57 : 133,418.63 = 54,239 : x
  2. Step 2: Convert to fraction form
    96,680.57/133,418.63 = 54,239/x
  3. Step 3: Cross multiply
    96,680.57x = 133,418.63 × 54,239
  4. Step 4: Simplify right side
    96,680.57x = 7,236,492,801.38
  5. Step 5: Solve for x
    x = 7,236,492,801.38/96,680.57
  6. Step 6: Final answer
    x = 74,849.50

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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.