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Finding the Fourth Proportional to 69,901.36, 96,464.37 and 38,069.62

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Solution

The fourth proportional to 69,901.36, 96,464.37 and 38,069.62 is: 52,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,901.36 : 96,464.37 = 38,069.62 : x
  2. Step 2: Convert to fraction form
    69,901.36/96,464.37 = 38,069.62/x
  3. Step 3: Cross multiply
    69,901.36x = 96,464.37 × 38,069.62
  4. Step 4: Simplify right side
    69,901.36x = 3,672,361,909.44
  5. Step 5: Solve for x
    x = 3,672,361,909.44/69,901.36
  6. Step 6: Final answer
    x = 52,536.34

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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.