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Finding the Fourth Proportional to 27,193.93, 40,792.41 and 7,472.05

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Solution

The fourth proportional to 27,193.93, 40,792.41 and 7,472.05 is: 11,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.93 : 40,792.41 = 7,472.05 : x
  2. Step 2: Convert to fraction form
    27,193.93/40,792.41 = 7,472.05/x
  3. Step 3: Cross multiply
    27,193.93x = 40,792.41 × 7,472.05
  4. Step 4: Simplify right side
    27,193.93x = 304,802,825.16
  5. Step 5: Solve for x
    x = 304,802,825.16/27,193.93
  6. Step 6: Final answer
    x = 11,208.49

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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.