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Finding the Fourth Proportional to 65,752.75, 90,738.80 and 37,458.44

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Solution

The fourth proportional to 65,752.75, 90,738.80 and 37,458.44 is: 51,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752.75 : 90,738.80 = 37,458.44 : x
  2. Step 2: Convert to fraction form
    65,752.75/90,738.80 = 37,458.44/x
  3. Step 3: Cross multiply
    65,752.75x = 90,738.80 × 37,458.44
  4. Step 4: Simplify right side
    65,752.75x = 3,398,933,895.47
  5. Step 5: Solve for x
    x = 3,398,933,895.47/65,752.75
  6. Step 6: Final answer
    x = 51,692.65

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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.