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Finding the Fourth Proportional to 70,595.38, 105,906.06 and 23,213.16

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Solution

The fourth proportional to 70,595.38, 105,906.06 and 23,213.16 is: 34,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.38 : 105,906.06 = 23,213.16 : x
  2. Step 2: Convert to fraction form
    70,595.38/105,906.06 = 23,213.16/x
  3. Step 3: Cross multiply
    70,595.38x = 105,906.06 × 23,213.16
  4. Step 4: Simplify right side
    70,595.38x = 2,458,414,315.75
  5. Step 5: Solve for x
    x = 2,458,414,315.75/70,595.38
  6. Step 6: Final answer
    x = 34,824.01

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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.