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Finding the Fourth Proportional to 62,257.32, 93,342.78 and 22,809

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Solution

The fourth proportional to 62,257.32, 93,342.78 and 22,809 is: 34,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,257.32 : 93,342.78 = 22,809 : x
  2. Step 2: Convert to fraction form
    62,257.32/93,342.78 = 22,809/x
  3. Step 3: Cross multiply
    62,257.32x = 93,342.78 × 22,809
  4. Step 4: Simplify right side
    62,257.32x = 2,129,055,469.02
  5. Step 5: Solve for x
    x = 2,129,055,469.02/62,257.32
  6. Step 6: Final answer
    x = 34,197.67

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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.