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Finding the Fourth Proportional to 32,770.61, 49,042.96 and 20,111.96

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Solution

The fourth proportional to 32,770.61, 49,042.96 and 20,111.96 is: 30,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.61 : 49,042.96 = 20,111.96 : x
  2. Step 2: Convert to fraction form
    32,770.61/49,042.96 = 20,111.96/x
  3. Step 3: Cross multiply
    32,770.61x = 49,042.96 × 20,111.96
  4. Step 4: Simplify right side
    32,770.61x = 986,350,122.13
  5. Step 5: Solve for x
    x = 986,350,122.13/32,770.61
  6. Step 6: Final answer
    x = 30,098.62

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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.