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Finding the Fourth Proportional to 65,212, 89,992.56 and 35,404

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Solution

The fourth proportional to 65,212, 89,992.56 and 35,404 is: 48,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212 : 89,992.56 = 35,404 : x
  2. Step 2: Convert to fraction form
    65,212/89,992.56 = 35,404/x
  3. Step 3: Cross multiply
    65,212x = 89,992.56 × 35,404
  4. Step 4: Simplify right side
    65,212x = 3,186,096,594.24
  5. Step 5: Solve for x
    x = 3,186,096,594.24/65,212
  6. Step 6: Final answer
    x = 48,857.52

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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.