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Finding the Fourth Proportional to 65,005.14, 89,734.71 and 39,519.64

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Solution

The fourth proportional to 65,005.14, 89,734.71 and 39,519.64 is: 54,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005.14 : 89,734.71 = 39,519.64 : x
  2. Step 2: Convert to fraction form
    65,005.14/89,734.71 = 39,519.64/x
  3. Step 3: Cross multiply
    65,005.14x = 89,734.71 × 39,519.64
  4. Step 4: Simplify right side
    65,005.14x = 3,546,283,434.70
  5. Step 5: Solve for x
    x = 3,546,283,434.70/65,005.14
  6. Step 6: Final answer
    x = 54,553.89

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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.