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Finding the Fourth Proportional to 62,277.84, 85,942.80 and 33,983.28

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Solution

The fourth proportional to 62,277.84, 85,942.80 and 33,983.28 is: 46,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,277.84 : 85,942.80 = 33,983.28 : x
  2. Step 2: Convert to fraction form
    62,277.84/85,942.80 = 33,983.28/x
  3. Step 3: Cross multiply
    62,277.84x = 85,942.80 × 33,983.28
  4. Step 4: Simplify right side
    62,277.84x = 2,920,618,236.38
  5. Step 5: Solve for x
    x = 2,920,618,236.38/62,277.84
  6. Step 6: Final answer
    x = 46,896.59

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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.