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Finding the Fourth Proportional to 33,829.66, 46,685.69 and 21,913.74

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Solution

The fourth proportional to 33,829.66, 46,685.69 and 21,913.74 is: 30,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.66 : 46,685.69 = 21,913.74 : x
  2. Step 2: Convert to fraction form
    33,829.66/46,685.69 = 21,913.74/x
  3. Step 3: Cross multiply
    33,829.66x = 46,685.69 × 21,913.74
  4. Step 4: Simplify right side
    33,829.66x = 1,023,058,072.38
  5. Step 5: Solve for x
    x = 1,023,058,072.38/33,829.66
  6. Step 6: Final answer
    x = 30,241.45

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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.