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Finding the Fourth Proportional to 61,783.68, 92,680.32 and 20,234.88

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Solution

The fourth proportional to 61,783.68, 92,680.32 and 20,234.88 is: 30,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,783.68 : 92,680.32 = 20,234.88 : x
  2. Step 2: Convert to fraction form
    61,783.68/92,680.32 = 20,234.88/x
  3. Step 3: Cross multiply
    61,783.68x = 92,680.32 × 20,234.88
  4. Step 4: Simplify right side
    61,783.68x = 1,875,375,153.56
  5. Step 5: Solve for x
    x = 1,875,375,153.56/61,783.68
  6. Step 6: Final answer
    x = 30,353.89

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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.