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Finding the Fourth Proportional to 27,600.78, 38,089.02 and 15,025.62

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Solution

The fourth proportional to 27,600.78, 38,089.02 and 15,025.62 is: 20,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.78 : 38,089.02 = 15,025.62 : x
  2. Step 2: Convert to fraction form
    27,600.78/38,089.02 = 15,025.62/x
  3. Step 3: Cross multiply
    27,600.78x = 38,089.02 × 15,025.62
  4. Step 4: Simplify right side
    27,600.78x = 572,311,140.69
  5. Step 5: Solve for x
    x = 572,311,140.69/27,600.78
  6. Step 6: Final answer
    x = 20,735.32

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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.