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Finding the Fourth Proportional to 27,067.45, 40,598.40 and 7,348

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Solution

The fourth proportional to 27,067.45, 40,598.40 and 7,348 is: 11,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.45 : 40,598.40 = 7,348 : x
  2. Step 2: Convert to fraction form
    27,067.45/40,598.40 = 7,348/x
  3. Step 3: Cross multiply
    27,067.45x = 40,598.40 × 7,348
  4. Step 4: Simplify right side
    27,067.45x = 298,317,043.20
  5. Step 5: Solve for x
    x = 298,317,043.20/27,067.45
  6. Step 6: Final answer
    x = 11,021.25

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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.