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Finding the Fourth Proportional to 65,996, 91,074.84 and 39,152

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Solution

The fourth proportional to 65,996, 91,074.84 and 39,152 is: 54,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,996 : 91,074.84 = 39,152 : x
  2. Step 2: Convert to fraction form
    65,996/91,074.84 = 39,152/x
  3. Step 3: Cross multiply
    65,996x = 91,074.84 × 39,152
  4. Step 4: Simplify right side
    65,996x = 3,565,762,135.68
  5. Step 5: Solve for x
    x = 3,565,762,135.68/65,996
  6. Step 6: Final answer
    x = 54,029.97

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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.