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Finding the Fourth Proportional to 34,451.75, 47,543.40 and 20,121.50

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Solution

The fourth proportional to 34,451.75, 47,543.40 and 20,121.50 is: 27,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,451.75 : 47,543.40 = 20,121.50 : x
  2. Step 2: Convert to fraction form
    34,451.75/47,543.40 = 20,121.50/x
  3. Step 3: Cross multiply
    34,451.75x = 47,543.40 × 20,121.50
  4. Step 4: Simplify right side
    34,451.75x = 956,644,285.38
  5. Step 5: Solve for x
    x = 956,644,285.38/34,451.75
  6. Step 6: Final answer
    x = 27,767.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.