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Finding the Fourth Proportional to 62,121.16, 85,727.36 and 33,827

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Solution

The fourth proportional to 62,121.16, 85,727.36 and 33,827 is: 46,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,121.16 : 85,727.36 = 33,827 : x
  2. Step 2: Convert to fraction form
    62,121.16/85,727.36 = 33,827/x
  3. Step 3: Cross multiply
    62,121.16x = 85,727.36 × 33,827
  4. Step 4: Simplify right side
    62,121.16x = 2,899,899,406.72
  5. Step 5: Solve for x
    x = 2,899,899,406.72/62,121.16
  6. Step 6: Final answer
    x = 46,681.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.