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Finding the Fourth Proportional to 69,041.70, 95,278.10 and 38,415.24

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Solution

The fourth proportional to 69,041.70, 95,278.10 and 38,415.24 is: 53,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,041.70 : 95,278.10 = 38,415.24 : x
  2. Step 2: Convert to fraction form
    69,041.70/95,278.10 = 38,415.24/x
  3. Step 3: Cross multiply
    69,041.70x = 95,278.10 × 38,415.24
  4. Step 4: Simplify right side
    69,041.70x = 3,660,131,078.24
  5. Step 5: Solve for x
    x = 3,660,131,078.24/69,041.70
  6. Step 6: Final answer
    x = 53,013.34

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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.