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Finding the Fourth Proportional to 68,234.96, 102,316.78 and 21,475.28

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Solution

The fourth proportional to 68,234.96, 102,316.78 and 21,475.28 is: 32,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.96 : 102,316.78 = 21,475.28 : x
  2. Step 2: Convert to fraction form
    68,234.96/102,316.78 = 21,475.28/x
  3. Step 3: Cross multiply
    68,234.96x = 102,316.78 × 21,475.28
  4. Step 4: Simplify right side
    68,234.96x = 2,197,281,499.20
  5. Step 5: Solve for x
    x = 2,197,281,499.20/68,234.96
  6. Step 6: Final answer
    x = 32,201.70

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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.