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Finding the Fourth Proportional to 62,092.28, 85,684.80 and 33,798

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Solution

The fourth proportional to 62,092.28, 85,684.80 and 33,798 is: 46,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,092.28 : 85,684.80 = 33,798 : x
  2. Step 2: Convert to fraction form
    62,092.28/85,684.80 = 33,798/x
  3. Step 3: Cross multiply
    62,092.28x = 85,684.80 × 33,798
  4. Step 4: Simplify right side
    62,092.28x = 2,895,974,870.40
  5. Step 5: Solve for x
    x = 2,895,974,870.40/62,092.28
  6. Step 6: Final answer
    x = 46,639.85

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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.