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Finding the Fourth Proportional to 27,699.88, 41,525 and 10,165.64

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Solution

The fourth proportional to 27,699.88, 41,525 and 10,165.64 is: 15,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.88 : 41,525 = 10,165.64 : x
  2. Step 2: Convert to fraction form
    27,699.88/41,525 = 10,165.64/x
  3. Step 3: Cross multiply
    27,699.88x = 41,525 × 10,165.64
  4. Step 4: Simplify right side
    27,699.88x = 422,128,201
  5. Step 5: Solve for x
    x = 422,128,201/27,699.88
  6. Step 6: Final answer
    x = 15,239.35

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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.