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Finding the Fourth Proportional to 62,121.38, 85,727.84 and 33,827.08

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Solution

The fourth proportional to 62,121.38, 85,727.84 and 33,827.08 is: 46,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,121.38 : 85,727.84 = 33,827.08 : x
  2. Step 2: Convert to fraction form
    62,121.38/85,727.84 = 33,827.08/x
  3. Step 3: Cross multiply
    62,121.38x = 85,727.84 × 33,827.08
  4. Step 4: Simplify right side
    62,121.38x = 2,899,922,501.91
  5. Step 5: Solve for x
    x = 2,899,922,501.91/62,121.38
  6. Step 6: Final answer
    x = 46,681.55

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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.