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Finding the Fourth Proportional to 27,959.30, 41,926.80 and 9,232.10

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Solution

The fourth proportional to 27,959.30, 41,926.80 and 9,232.10 is: 13,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.30 : 41,926.80 = 9,232.10 : x
  2. Step 2: Convert to fraction form
    27,959.30/41,926.80 = 9,232.10/x
  3. Step 3: Cross multiply
    27,959.30x = 41,926.80 × 9,232.10
  4. Step 4: Simplify right side
    27,959.30x = 387,072,410.28
  5. Step 5: Solve for x
    x = 387,072,410.28/27,959.30
  6. Step 6: Final answer
    x = 13,844.14

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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.