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Finding the Fourth Proportional to 62,098.82, 85,694.19 and 33,803.90

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Solution

The fourth proportional to 62,098.82, 85,694.19 and 33,803.90 is: 46,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098.82 : 85,694.19 = 33,803.90 : x
  2. Step 2: Convert to fraction form
    62,098.82/85,694.19 = 33,803.90/x
  3. Step 3: Cross multiply
    62,098.82x = 85,694.19 × 33,803.90
  4. Step 4: Simplify right side
    62,098.82x = 2,896,797,829.34
  5. Step 5: Solve for x
    x = 2,896,797,829.34/62,098.82
  6. Step 6: Final answer
    x = 46,648.19

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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.