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Finding the Fourth Proportional to 70,209.44, 105,355.77 and 25,867.31

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Solution

The fourth proportional to 70,209.44, 105,355.77 and 25,867.31 is: 38,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.44 : 105,355.77 = 25,867.31 : x
  2. Step 2: Convert to fraction form
    70,209.44/105,355.77 = 25,867.31/x
  3. Step 3: Cross multiply
    70,209.44x = 105,355.77 × 25,867.31
  4. Step 4: Simplify right side
    70,209.44x = 2,725,269,836.10
  5. Step 5: Solve for x
    x = 2,725,269,836.10/70,209.44
  6. Step 6: Final answer
    x = 38,816.29

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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.