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Finding the Fourth Proportional to 96,096.84, 132,613.38 and 53,665.44

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Solution

The fourth proportional to 96,096.84, 132,613.38 and 53,665.44 is: 74,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096.84 : 132,613.38 = 53,665.44 : x
  2. Step 2: Convert to fraction form
    96,096.84/132,613.38 = 53,665.44/x
  3. Step 3: Cross multiply
    96,096.84x = 132,613.38 × 53,665.44
  4. Step 4: Simplify right side
    96,096.84x = 7,116,755,387.59
  5. Step 5: Solve for x
    x = 7,116,755,387.59/96,096.84
  6. Step 6: Final answer
    x = 74,058.16

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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.