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Finding the Fourth Proportional to 64,867.42, 89,517 and 35,059.42

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Solution

The fourth proportional to 64,867.42, 89,517 and 35,059.42 is: 48,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,867.42 : 89,517 = 35,059.42 : x
  2. Step 2: Convert to fraction form
    64,867.42/89,517 = 35,059.42/x
  3. Step 3: Cross multiply
    64,867.42x = 89,517 × 35,059.42
  4. Step 4: Simplify right side
    64,867.42x = 3,138,414,100.14
  5. Step 5: Solve for x
    x = 3,138,414,100.14/64,867.42
  6. Step 6: Final answer
    x = 48,381.98

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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.