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Finding the Fourth Proportional to 33,871, 46,747.38 and 19,731.64

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Solution

The fourth proportional to 33,871, 46,747.38 and 19,731.64 is: 27,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871 : 46,747.38 = 19,731.64 : x
  2. Step 2: Convert to fraction form
    33,871/46,747.38 = 19,731.64/x
  3. Step 3: Cross multiply
    33,871x = 46,747.38 × 19,731.64
  4. Step 4: Simplify right side
    33,871x = 922,402,473.10
  5. Step 5: Solve for x
    x = 922,402,473.10/33,871
  6. Step 6: Final answer
    x = 27,232.81

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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.