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Finding the Fourth Proportional to 27,220.74, 40,831.11 and 7,499.49

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Solution

The fourth proportional to 27,220.74, 40,831.11 and 7,499.49 is: 11,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220.74 : 40,831.11 = 7,499.49 : x
  2. Step 2: Convert to fraction form
    27,220.74/40,831.11 = 7,499.49/x
  3. Step 3: Cross multiply
    27,220.74x = 40,831.11 × 7,499.49
  4. Step 4: Simplify right side
    27,220.74x = 306,212,501.13
  5. Step 5: Solve for x
    x = 306,212,501.13/27,220.74
  6. Step 6: Final answer
    x = 11,249.24

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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.