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Finding the Fourth Proportional to 27,298.92, 40,944.33 and 7,575.42

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Solution

The fourth proportional to 27,298.92, 40,944.33 and 7,575.42 is: 11,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298.92 : 40,944.33 = 7,575.42 : x
  2. Step 2: Convert to fraction form
    27,298.92/40,944.33 = 7,575.42/x
  3. Step 3: Cross multiply
    27,298.92x = 40,944.33 × 7,575.42
  4. Step 4: Simplify right side
    27,298.92x = 310,170,496.37
  5. Step 5: Solve for x
    x = 310,170,496.37/27,298.92
  6. Step 6: Final answer
    x = 11,362.01

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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.