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Finding the Fourth Proportional to 66,544, 91,830.80 and 36,736

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Solution

The fourth proportional to 66,544, 91,830.80 and 36,736 is: 50,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544 : 91,830.80 = 36,736 : x
  2. Step 2: Convert to fraction form
    66,544/91,830.80 = 36,736/x
  3. Step 3: Cross multiply
    66,544x = 91,830.80 × 36,736
  4. Step 4: Simplify right side
    66,544x = 3,373,496,268.80
  5. Step 5: Solve for x
    x = 3,373,496,268.80/66,544
  6. Step 6: Final answer
    x = 50,695.72

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