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Finding the Fourth Proportional to 96,763.56, 145,186.92 and 52,422

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Solution

The fourth proportional to 96,763.56, 145,186.92 and 52,422 is: 78,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,763.56 : 145,186.92 = 52,422 : x
  2. Step 2: Convert to fraction form
    96,763.56/145,186.92 = 52,422/x
  3. Step 3: Cross multiply
    96,763.56x = 145,186.92 × 52,422
  4. Step 4: Simplify right side
    96,763.56x = 7,610,988,720.24
  5. Step 5: Solve for x
    x = 7,610,988,720.24/96,763.56
  6. Step 6: Final answer
    x = 78,655.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.