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Finding the Fourth Proportional to 70,724.59, 106,090.21 and 23,343.82

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Solution

The fourth proportional to 70,724.59, 106,090.21 and 23,343.82 is: 35,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724.59 : 106,090.21 = 23,343.82 : x
  2. Step 2: Convert to fraction form
    70,724.59/106,090.21 = 23,343.82/x
  3. Step 3: Cross multiply
    70,724.59x = 106,090.21 × 23,343.82
  4. Step 4: Simplify right side
    70,724.59x = 2,476,550,697.03
  5. Step 5: Solve for x
    x = 2,476,550,697.03/70,724.59
  6. Step 6: Final answer
    x = 35,016.82

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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.