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Finding the Fourth Proportional to 69,825, 104,727.10 and 25,441.40

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Solution

The fourth proportional to 69,825, 104,727.10 and 25,441.40 is: 38,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,825 : 104,727.10 = 25,441.40 : x
  2. Step 2: Convert to fraction form
    69,825/104,727.10 = 25,441.40/x
  3. Step 3: Cross multiply
    69,825x = 104,727.10 × 25,441.40
  4. Step 4: Simplify right side
    69,825x = 2,664,404,041.94
  5. Step 5: Solve for x
    x = 2,664,404,041.94/69,825
  6. Step 6: Final answer
    x = 38,158.31

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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.