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Finding the Fourth Proportional to 69,719.12, 96,227.24 and 42,884.24

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Solution

The fourth proportional to 69,719.12, 96,227.24 and 42,884.24 is: 59,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,719.12 : 96,227.24 = 42,884.24 : x
  2. Step 2: Convert to fraction form
    69,719.12/96,227.24 = 42,884.24/x
  3. Step 3: Cross multiply
    69,719.12x = 96,227.24 × 42,884.24
  4. Step 4: Simplify right side
    69,719.12x = 4,126,632,054.70
  5. Step 5: Solve for x
    x = 4,126,632,054.70/69,719.12
  6. Step 6: Final answer
    x = 59,189.39

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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.