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Finding the Fourth Proportional to 27,027.41, 40,535.47 and 7,301.34

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Solution

The fourth proportional to 27,027.41, 40,535.47 and 7,301.34 is: 10,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.41 : 40,535.47 = 7,301.34 : x
  2. Step 2: Convert to fraction form
    27,027.41/40,535.47 = 7,301.34/x
  3. Step 3: Cross multiply
    27,027.41x = 40,535.47 × 7,301.34
  4. Step 4: Simplify right side
    27,027.41x = 295,963,257.66
  5. Step 5: Solve for x
    x = 295,963,257.66/27,027.41
  6. Step 6: Final answer
    x = 10,950.49

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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.