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Finding the Fourth Proportional to 27,993, 41,989.50 and 9,525

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Solution

The fourth proportional to 27,993, 41,989.50 and 9,525 is: 14,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 41,989.50 = 9,525 : x
  2. Step 2: Convert to fraction form
    27,993/41,989.50 = 9,525/x
  3. Step 3: Cross multiply
    27,993x = 41,989.50 × 9,525
  4. Step 4: Simplify right side
    27,993x = 399,949,987.50
  5. Step 5: Solve for x
    x = 399,949,987.50/27,993
  6. Step 6: Final answer
    x = 14,287.50

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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.