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Finding the Fourth Proportional to 61,205.47, 84,464.18 and 33,982

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Solution

The fourth proportional to 61,205.47, 84,464.18 and 33,982 is: 46,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.47 : 84,464.18 = 33,982 : x
  2. Step 2: Convert to fraction form
    61,205.47/84,464.18 = 33,982/x
  3. Step 3: Cross multiply
    61,205.47x = 84,464.18 × 33,982
  4. Step 4: Simplify right side
    61,205.47x = 2,870,261,594.85
  5. Step 5: Solve for x
    x = 2,870,261,594.85/61,205.47
  6. Step 6: Final answer
    x = 46,895.51

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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.