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Finding the Fourth Proportional to 32,949.68, 49,427.28 and 9,576.14

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Solution

The fourth proportional to 32,949.68, 49,427.28 and 9,576.14 is: 14,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.68 : 49,427.28 = 9,576.14 : x
  2. Step 2: Convert to fraction form
    32,949.68/49,427.28 = 9,576.14/x
  3. Step 3: Cross multiply
    32,949.68x = 49,427.28 × 9,576.14
  4. Step 4: Simplify right side
    32,949.68x = 473,322,553.10
  5. Step 5: Solve for x
    x = 473,322,553.10/32,949.68
  6. Step 6: Final answer
    x = 14,365.01

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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.