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Finding the Fourth Proportional to 95,101.78, 142,654.29 and 35,965.30

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Solution

The fourth proportional to 95,101.78, 142,654.29 and 35,965.30 is: 53,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,101.78 : 142,654.29 = 35,965.30 : x
  2. Step 2: Convert to fraction form
    95,101.78/142,654.29 = 35,965.30/x
  3. Step 3: Cross multiply
    95,101.78x = 142,654.29 × 35,965.30
  4. Step 4: Simplify right side
    95,101.78x = 5,130,604,336.14
  5. Step 5: Solve for x
    x = 5,130,604,336.14/95,101.78
  6. Step 6: Final answer
    x = 53,948.56

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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.