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Finding the Fourth Proportional to 96,196.62, 132,751.13 and 53,755.16

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Solution

The fourth proportional to 96,196.62, 132,751.13 and 53,755.16 is: 74,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,196.62 : 132,751.13 = 53,755.16 : x
  2. Step 2: Convert to fraction form
    96,196.62/132,751.13 = 53,755.16/x
  3. Step 3: Cross multiply
    96,196.62x = 132,751.13 × 53,755.16
  4. Step 4: Simplify right side
    96,196.62x = 7,136,057,300.80
  5. Step 5: Solve for x
    x = 7,136,057,300.80/96,196.62
  6. Step 6: Final answer
    x = 74,182.00

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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.