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Finding the Fourth Proportional to 32,427.14, 48,640.70 and 9,052.97

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Solution

The fourth proportional to 32,427.14, 48,640.70 and 9,052.97 is: 13,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.14 : 48,640.70 = 9,052.97 : x
  2. Step 2: Convert to fraction form
    32,427.14/48,640.70 = 9,052.97/x
  3. Step 3: Cross multiply
    32,427.14x = 48,640.70 × 9,052.97
  4. Step 4: Simplify right side
    32,427.14x = 440,342,577.31
  5. Step 5: Solve for x
    x = 440,342,577.31/32,427.14
  6. Step 6: Final answer
    x = 13,579.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.