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Finding the Fourth Proportional to 27,120.88, 40,569 and 25,462

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Solution

The fourth proportional to 27,120.88, 40,569 and 25,462 is: 38,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.88 : 40,569 = 25,462 : x
  2. Step 2: Convert to fraction form
    27,120.88/40,569 = 25,462/x
  3. Step 3: Cross multiply
    27,120.88x = 40,569 × 25,462
  4. Step 4: Simplify right side
    27,120.88x = 1,032,967,878
  5. Step 5: Solve for x
    x = 1,032,967,878/27,120.88
  6. Step 6: Final answer
    x = 38,087.55

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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.