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Finding the Fourth Proportional to 82,793.86, 124,192 and 23,629.55

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Solution

The fourth proportional to 82,793.86, 124,192 and 23,629.55 is: 35,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,793.86 : 124,192 = 23,629.55 : x
  2. Step 2: Convert to fraction form
    82,793.86/124,192 = 23,629.55/x
  3. Step 3: Cross multiply
    82,793.86x = 124,192 × 23,629.55
  4. Step 4: Simplify right side
    82,793.86x = 2,934,601,073.60
  5. Step 5: Solve for x
    x = 2,934,601,073.60/82,793.86
  6. Step 6: Final answer
    x = 35,444.67

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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.