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Finding the Fourth Proportional to 27,954.52, 41,938.02 and 9,240.40

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Solution

The fourth proportional to 27,954.52, 41,938.02 and 9,240.40 is: 13,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.52 : 41,938.02 = 9,240.40 : x
  2. Step 2: Convert to fraction form
    27,954.52/41,938.02 = 9,240.40/x
  3. Step 3: Cross multiply
    27,954.52x = 41,938.02 × 9,240.40
  4. Step 4: Simplify right side
    27,954.52x = 387,524,080.01
  5. Step 5: Solve for x
    x = 387,524,080.01/27,954.52
  6. Step 6: Final answer
    x = 13,862.66

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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.