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Finding the Fourth Proportional to 33,838.93, 46,697.38 and 20,233.23

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Solution

The fourth proportional to 33,838.93, 46,697.38 and 20,233.23 is: 27,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.93 : 46,697.38 = 20,233.23 : x
  2. Step 2: Convert to fraction form
    33,838.93/46,697.38 = 20,233.23/x
  3. Step 3: Cross multiply
    33,838.93x = 46,697.38 × 20,233.23
  4. Step 4: Simplify right side
    33,838.93x = 944,838,829.94
  5. Step 5: Solve for x
    x = 944,838,829.94/33,838.93
  6. Step 6: Final answer
    x = 27,921.65

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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.