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Finding the Fourth Proportional to 61,057.30, 84,257.82 and 33,830.74

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Solution

The fourth proportional to 61,057.30, 84,257.82 and 33,830.74 is: 46,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,057.30 : 84,257.82 = 33,830.74 : x
  2. Step 2: Convert to fraction form
    61,057.30/84,257.82 = 33,830.74/x
  3. Step 3: Cross multiply
    61,057.30x = 84,257.82 × 33,830.74
  4. Step 4: Simplify right side
    61,057.30x = 2,850,504,401.39
  5. Step 5: Solve for x
    x = 2,850,504,401.39/61,057.30
  6. Step 6: Final answer
    x = 46,685.73

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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.