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Finding the Fourth Proportional to 33,751.38, 46,590.19 and 22,264.47

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Solution

The fourth proportional to 33,751.38, 46,590.19 and 22,264.47 is: 30,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751.38 : 46,590.19 = 22,264.47 : x
  2. Step 2: Convert to fraction form
    33,751.38/46,590.19 = 22,264.47/x
  3. Step 3: Cross multiply
    33,751.38x = 46,590.19 × 22,264.47
  4. Step 4: Simplify right side
    33,751.38x = 1,037,305,831.89
  5. Step 5: Solve for x
    x = 1,037,305,831.89/33,751.38
  6. Step 6: Final answer
    x = 30,733.73

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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.