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Finding the Fourth Proportional to 70,736.96, 106,102.68 and 23,989.88

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Solution

The fourth proportional to 70,736.96, 106,102.68 and 23,989.88 is: 35,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,736.96 : 106,102.68 = 23,989.88 : x
  2. Step 2: Convert to fraction form
    70,736.96/106,102.68 = 23,989.88/x
  3. Step 3: Cross multiply
    70,736.96x = 106,102.68 × 23,989.88
  4. Step 4: Simplify right side
    70,736.96x = 2,545,390,560.88
  5. Step 5: Solve for x
    x = 2,545,390,560.88/70,736.96
  6. Step 6: Final answer
    x = 35,983.88

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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.