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Finding the Fourth Proportional to 70,943.31, 106,425.90 and 24,185.25

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Solution

The fourth proportional to 70,943.31, 106,425.90 and 24,185.25 is: 36,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,943.31 : 106,425.90 = 24,185.25 : x
  2. Step 2: Convert to fraction form
    70,943.31/106,425.90 = 24,185.25/x
  3. Step 3: Cross multiply
    70,943.31x = 106,425.90 × 24,185.25
  4. Step 4: Simplify right side
    70,943.31x = 2,573,936,997.98
  5. Step 5: Solve for x
    x = 2,573,936,997.98/70,943.31
  6. Step 6: Final answer
    x = 36,281.60

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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.