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Finding the Fourth Proportional to 70,952.31, 106,439.40 and 24,194.25

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Solution

The fourth proportional to 70,952.31, 106,439.40 and 24,194.25 is: 36,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.31 : 106,439.40 = 24,194.25 : x
  2. Step 2: Convert to fraction form
    70,952.31/106,439.40 = 24,194.25/x
  3. Step 3: Cross multiply
    70,952.31x = 106,439.40 × 24,194.25
  4. Step 4: Simplify right side
    70,952.31x = 2,575,221,453.45
  5. Step 5: Solve for x
    x = 2,575,221,453.45/70,952.31
  6. Step 6: Final answer
    x = 36,295.10

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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.