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Finding the Fourth Proportional to 43,057.88, 59,425.44 and 24,195

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Solution

The fourth proportional to 43,057.88, 59,425.44 and 24,195 is: 33,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057.88 : 59,425.44 = 24,195 : x
  2. Step 2: Convert to fraction form
    43,057.88/59,425.44 = 24,195/x
  3. Step 3: Cross multiply
    43,057.88x = 59,425.44 × 24,195
  4. Step 4: Simplify right side
    43,057.88x = 1,437,798,520.80
  5. Step 5: Solve for x
    x = 1,437,798,520.80/43,057.88
  6. Step 6: Final answer
    x = 33,392.23

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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.