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Finding the Fourth Proportional to 65,071.36, 89,842.56 and 41,219.20

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Solution

The fourth proportional to 65,071.36, 89,842.56 and 41,219.20 is: 56,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071.36 : 89,842.56 = 41,219.20 : x
  2. Step 2: Convert to fraction form
    65,071.36/89,842.56 = 41,219.20/x
  3. Step 3: Cross multiply
    65,071.36x = 89,842.56 × 41,219.20
  4. Step 4: Simplify right side
    65,071.36x = 3,703,238,449.15
  5. Step 5: Solve for x
    x = 3,703,238,449.15/65,071.36
  6. Step 6: Final answer
    x = 56,910.42

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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.