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Finding the Fourth Proportional to 68,098.84, 102,164.62 and 21,351.72

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Solution

The fourth proportional to 68,098.84, 102,164.62 and 21,351.72 is: 32,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098.84 : 102,164.62 = 21,351.72 : x
  2. Step 2: Convert to fraction form
    68,098.84/102,164.62 = 21,351.72/x
  3. Step 3: Cross multiply
    68,098.84x = 102,164.62 × 21,351.72
  4. Step 4: Simplify right side
    68,098.84x = 2,181,390,360.15
  5. Step 5: Solve for x
    x = 2,181,390,360.15/68,098.84
  6. Step 6: Final answer
    x = 32,032.71

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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.