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Finding the Fourth Proportional to 70,728.76, 106,094.36 and 23,982.84

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Solution

The fourth proportional to 70,728.76, 106,094.36 and 23,982.84 is: 35,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728.76 : 106,094.36 = 23,982.84 : x
  2. Step 2: Convert to fraction form
    70,728.76/106,094.36 = 23,982.84/x
  3. Step 3: Cross multiply
    70,728.76x = 106,094.36 × 23,982.84
  4. Step 4: Simplify right side
    70,728.76x = 2,544,444,060.78
  5. Step 5: Solve for x
    x = 2,544,444,060.78/70,728.76
  6. Step 6: Final answer
    x = 35,974.67

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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.