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Finding the Fourth Proportional to 27,324.54, 40,986.84 and 7,603.10

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Solution

The fourth proportional to 27,324.54, 40,986.84 and 7,603.10 is: 11,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.54 : 40,986.84 = 7,603.10 : x
  2. Step 2: Convert to fraction form
    27,324.54/40,986.84 = 7,603.10/x
  3. Step 3: Cross multiply
    27,324.54x = 40,986.84 × 7,603.10
  4. Step 4: Simplify right side
    27,324.54x = 311,627,043.20
  5. Step 5: Solve for x
    x = 311,627,043.20/27,324.54
  6. Step 6: Final answer
    x = 11,404.66

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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.