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Finding the Fourth Proportional to 61,872.77, 85,384.43 and 33,578.46

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Solution

The fourth proportional to 61,872.77, 85,384.43 and 33,578.46 is: 46,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872.77 : 85,384.43 = 33,578.46 : x
  2. Step 2: Convert to fraction form
    61,872.77/85,384.43 = 33,578.46/x
  3. Step 3: Cross multiply
    61,872.77x = 85,384.43 × 33,578.46
  4. Step 4: Simplify right side
    61,872.77x = 2,867,077,667.38
  5. Step 5: Solve for x
    x = 2,867,077,667.38/61,872.77
  6. Step 6: Final answer
    x = 46,338.28

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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.