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Finding the Fourth Proportional to 38,468.23, 57,696.56 and 12,169.55

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Solution

The fourth proportional to 38,468.23, 57,696.56 and 12,169.55 is: 18,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.23 : 57,696.56 = 12,169.55 : x
  2. Step 2: Convert to fraction form
    38,468.23/57,696.56 = 12,169.55/x
  3. Step 3: Cross multiply
    38,468.23x = 57,696.56 × 12,169.55
  4. Step 4: Simplify right side
    38,468.23x = 702,141,300.78
  5. Step 5: Solve for x
    x = 702,141,300.78/38,468.23
  6. Step 6: Final answer
    x = 18,252.50

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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.