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Finding the Fourth Proportional to 95,115.28, 142,674.54 and 35,978.80

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Solution

The fourth proportional to 95,115.28, 142,674.54 and 35,978.80 is: 53,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,115.28 : 142,674.54 = 35,978.80 : x
  2. Step 2: Convert to fraction form
    95,115.28/142,674.54 = 35,978.80/x
  3. Step 3: Cross multiply
    95,115.28x = 142,674.54 × 35,978.80
  4. Step 4: Simplify right side
    95,115.28x = 5,133,258,739.75
  5. Step 5: Solve for x
    x = 5,133,258,739.75/95,115.28
  6. Step 6: Final answer
    x = 53,968.81

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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.