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Finding the Fourth Proportional to 60,032.19, 82,847.61 and 34,542.44

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Solution

The fourth proportional to 60,032.19, 82,847.61 and 34,542.44 is: 47,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,032.19 : 82,847.61 = 34,542.44 : x
  2. Step 2: Convert to fraction form
    60,032.19/82,847.61 = 34,542.44/x
  3. Step 3: Cross multiply
    60,032.19x = 82,847.61 × 34,542.44
  4. Step 4: Simplify right side
    60,032.19x = 2,861,758,183.33
  5. Step 5: Solve for x
    x = 2,861,758,183.33/60,032.19
  6. Step 6: Final answer
    x = 47,670.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.