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Finding the Fourth Proportional to 50,418.16, 75,634.26 and 22,336

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Solution

The fourth proportional to 50,418.16, 75,634.26 and 22,336 is: 33,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418.16 : 75,634.26 = 22,336 : x
  2. Step 2: Convert to fraction form
    50,418.16/75,634.26 = 22,336/x
  3. Step 3: Cross multiply
    50,418.16x = 75,634.26 × 22,336
  4. Step 4: Simplify right side
    50,418.16x = 1,689,366,831.36
  5. Step 5: Solve for x
    x = 1,689,366,831.36/50,418.16
  6. Step 6: Final answer
    x = 33,507.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.