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Finding the Fourth Proportional to 33,442.38, 46,150.74 and 22,831.74

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Solution

The fourth proportional to 33,442.38, 46,150.74 and 22,831.74 is: 31,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.38 : 46,150.74 = 22,831.74 : x
  2. Step 2: Convert to fraction form
    33,442.38/46,150.74 = 22,831.74/x
  3. Step 3: Cross multiply
    33,442.38x = 46,150.74 × 22,831.74
  4. Step 4: Simplify right side
    33,442.38x = 1,053,701,696.49
  5. Step 5: Solve for x
    x = 1,053,701,696.49/33,442.38
  6. Step 6: Final answer
    x = 31,507.98

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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.