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Finding the Fourth Proportional to 64,892, 89,550.96 and 35,084

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Solution

The fourth proportional to 64,892, 89,550.96 and 35,084 is: 48,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,892 : 89,550.96 = 35,084 : x
  2. Step 2: Convert to fraction form
    64,892/89,550.96 = 35,084/x
  3. Step 3: Cross multiply
    64,892x = 89,550.96 × 35,084
  4. Step 4: Simplify right side
    64,892x = 3,141,805,880.64
  5. Step 5: Solve for x
    x = 3,141,805,880.64/64,892
  6. Step 6: Final answer
    x = 48,415.92

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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.