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Finding the Fourth Proportional to 51,733.38, 71,391.98 and 30,237.90

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Solution

The fourth proportional to 51,733.38, 71,391.98 and 30,237.90 is: 41,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,733.38 : 71,391.98 = 30,237.90 : x
  2. Step 2: Convert to fraction form
    51,733.38/71,391.98 = 30,237.90/x
  3. Step 3: Cross multiply
    51,733.38x = 71,391.98 × 30,237.90
  4. Step 4: Simplify right side
    51,733.38x = 2,158,743,400.85
  5. Step 5: Solve for x
    x = 2,158,743,400.85/51,733.38
  6. Step 6: Final answer
    x = 41,728.25

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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.