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Finding the Fourth Proportional to 65,763, 90,754.38 and 35,955

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Solution

The fourth proportional to 65,763, 90,754.38 and 35,955 is: 49,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,763 : 90,754.38 = 35,955 : x
  2. Step 2: Convert to fraction form
    65,763/90,754.38 = 35,955/x
  3. Step 3: Cross multiply
    65,763x = 90,754.38 × 35,955
  4. Step 4: Simplify right side
    65,763x = 3,263,073,732.90
  5. Step 5: Solve for x
    x = 3,263,073,732.90/65,763
  6. Step 6: Final answer
    x = 49,618.69

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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.