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Finding the Fourth Proportional to 52,116, 71,979.48 and 35,319.84

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Solution

The fourth proportional to 52,116, 71,979.48 and 35,319.84 is: 48,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116 : 71,979.48 = 35,319.84 : x
  2. Step 2: Convert to fraction form
    52,116/71,979.48 = 35,319.84/x
  3. Step 3: Cross multiply
    52,116x = 71,979.48 × 35,319.84
  4. Step 4: Simplify right side
    52,116x = 2,542,303,716.88
  5. Step 5: Solve for x
    x = 2,542,303,716.88/52,116
  6. Step 6: Final answer
    x = 48,781.64

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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.