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Finding the Fourth Proportional to 30,296.68, 45,455.96 and 10,578.14

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Solution

The fourth proportional to 30,296.68, 45,455.96 and 10,578.14 is: 15,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.68 : 45,455.96 = 10,578.14 : x
  2. Step 2: Convert to fraction form
    30,296.68/45,455.96 = 10,578.14/x
  3. Step 3: Cross multiply
    30,296.68x = 45,455.96 × 10,578.14
  4. Step 4: Simplify right side
    30,296.68x = 480,839,704.28
  5. Step 5: Solve for x
    x = 480,839,704.28/30,296.68
  6. Step 6: Final answer
    x = 15,871.03

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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.