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Finding the Fourth Proportional to 49,895.16, 68,855.18 and 27,539

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Solution

The fourth proportional to 49,895.16, 68,855.18 and 27,539 is: 38,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,895.16 : 68,855.18 = 27,539 : x
  2. Step 2: Convert to fraction form
    49,895.16/68,855.18 = 27,539/x
  3. Step 3: Cross multiply
    49,895.16x = 68,855.18 × 27,539
  4. Step 4: Simplify right side
    49,895.16x = 1,896,202,802.02
  5. Step 5: Solve for x
    x = 1,896,202,802.02/49,895.16
  6. Step 6: Final answer
    x = 38,003.74

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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.