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Finding the Fourth Proportional to 33,872.48, 46,746.86 and 19,724.48

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Solution

The fourth proportional to 33,872.48, 46,746.86 and 19,724.48 is: 27,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872.48 : 46,746.86 = 19,724.48 : x
  2. Step 2: Convert to fraction form
    33,872.48/46,746.86 = 19,724.48/x
  3. Step 3: Cross multiply
    33,872.48x = 46,746.86 × 19,724.48
  4. Step 4: Simplify right side
    33,872.48x = 922,057,505.13
  5. Step 5: Solve for x
    x = 922,057,505.13/33,872.48
  6. Step 6: Final answer
    x = 27,221.43

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1.5x scale

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.