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Finding the Fourth Proportional to 70,019.20, 105,035.34 and 27,889.12

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Solution

The fourth proportional to 70,019.20, 105,035.34 and 27,889.12 is: 41,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,019.20 : 105,035.34 = 27,889.12 : x
  2. Step 2: Convert to fraction form
    70,019.20/105,035.34 = 27,889.12/x
  3. Step 3: Cross multiply
    70,019.20x = 105,035.34 × 27,889.12
  4. Step 4: Simplify right side
    70,019.20x = 2,929,343,201.50
  5. Step 5: Solve for x
    x = 2,929,343,201.50/70,019.20
  6. Step 6: Final answer
    x = 41,836.28

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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.