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Finding the Fourth Proportional to 61,082.22, 84,292.30 and 33,857.84

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Solution

The fourth proportional to 61,082.22, 84,292.30 and 33,857.84 is: 46,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,082.22 : 84,292.30 = 33,857.84 : x
  2. Step 2: Convert to fraction form
    61,082.22/84,292.30 = 33,857.84/x
  3. Step 3: Cross multiply
    61,082.22x = 84,292.30 × 33,857.84
  4. Step 4: Simplify right side
    61,082.22x = 2,853,955,206.63
  5. Step 5: Solve for x
    x = 2,853,955,206.63/61,082.22
  6. Step 6: Final answer
    x = 46,723.17

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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.