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Finding the Fourth Proportional to 65,821.42, 90,796.62 and 40,340.12

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Solution

The fourth proportional to 65,821.42, 90,796.62 and 40,340.12 is: 55,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.42 : 90,796.62 = 40,340.12 : x
  2. Step 2: Convert to fraction form
    65,821.42/90,796.62 = 40,340.12/x
  3. Step 3: Cross multiply
    65,821.42x = 90,796.62 × 40,340.12
  4. Step 4: Simplify right side
    65,821.42x = 3,662,746,546.39
  5. Step 5: Solve for x
    x = 3,662,746,546.39/65,821.42
  6. Step 6: Final answer
    x = 55,646.73

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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.