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Finding the Fourth Proportional to 70,595.42, 105,906.22 and 23,213.16

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Solution

The fourth proportional to 70,595.42, 105,906.22 and 23,213.16 is: 34,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.42 : 105,906.22 = 23,213.16 : x
  2. Step 2: Convert to fraction form
    70,595.42/105,906.22 = 23,213.16/x
  3. Step 3: Cross multiply
    70,595.42x = 105,906.22 × 23,213.16
  4. Step 4: Simplify right side
    70,595.42x = 2,458,418,029.86
  5. Step 5: Solve for x
    x = 2,458,418,029.86/70,595.42
  6. Step 6: Final answer
    x = 34,824.04

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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.