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Finding the Fourth Proportional to 95,102.78, 142,655.79 and 35,966.30

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Solution

The fourth proportional to 95,102.78, 142,655.79 and 35,966.30 is: 53,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,102.78 : 142,655.79 = 35,966.30 : x
  2. Step 2: Convert to fraction form
    95,102.78/142,655.79 = 35,966.30/x
  3. Step 3: Cross multiply
    95,102.78x = 142,655.79 × 35,966.30
  4. Step 4: Simplify right side
    95,102.78x = 5,130,800,939.88
  5. Step 5: Solve for x
    x = 5,130,800,939.88/95,102.78
  6. Step 6: Final answer
    x = 53,950.06

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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.