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Finding the Fourth Proportional to 40,195.76, 55,442.40 and 27,598.64

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Solution

The fourth proportional to 40,195.76, 55,442.40 and 27,598.64 is: 38,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.76 : 55,442.40 = 27,598.64 : x
  2. Step 2: Convert to fraction form
    40,195.76/55,442.40 = 27,598.64/x
  3. Step 3: Cross multiply
    40,195.76x = 55,442.40 × 27,598.64
  4. Step 4: Simplify right side
    40,195.76x = 1,530,134,838.34
  5. Step 5: Solve for x
    x = 1,530,134,838.34/40,195.76
  6. Step 6: Final answer
    x = 38,067.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.