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Finding the Fourth Proportional to 68,233.16, 102,349.74 and 26,651

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Solution

The fourth proportional to 68,233.16, 102,349.74 and 26,651 is: 39,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,233.16 : 102,349.74 = 26,651 : x
  2. Step 2: Convert to fraction form
    68,233.16/102,349.74 = 26,651/x
  3. Step 3: Cross multiply
    68,233.16x = 102,349.74 × 26,651
  4. Step 4: Simplify right side
    68,233.16x = 2,727,722,920.74
  5. Step 5: Solve for x
    x = 2,727,722,920.74/68,233.16
  6. Step 6: Final answer
    x = 39,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.