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Finding the Fourth Proportional to 36,831.90, 50,827.86 and 22,491.66

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Solution

The fourth proportional to 36,831.90, 50,827.86 and 22,491.66 is: 31,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,831.90 : 50,827.86 = 22,491.66 : x
  2. Step 2: Convert to fraction form
    36,831.90/50,827.86 = 22,491.66/x
  3. Step 3: Cross multiply
    36,831.90x = 50,827.86 × 22,491.66
  4. Step 4: Simplify right side
    36,831.90x = 1,143,202,945.65
  5. Step 5: Solve for x
    x = 1,143,202,945.65/36,831.90
  6. Step 6: Final answer
    x = 31,038.39

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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.