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Finding the Fourth Proportional to 70,145.36, 105,236.13 and 20,229.38

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Solution

The fourth proportional to 70,145.36, 105,236.13 and 20,229.38 is: 30,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,145.36 : 105,236.13 = 20,229.38 : x
  2. Step 2: Convert to fraction form
    70,145.36/105,236.13 = 20,229.38/x
  3. Step 3: Cross multiply
    70,145.36x = 105,236.13 × 20,229.38
  4. Step 4: Simplify right side
    70,145.36x = 2,128,861,663.50
  5. Step 5: Solve for x
    x = 2,128,861,663.50/70,145.36
  6. Step 6: Final answer
    x = 30,349.29

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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.