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Finding the Fourth Proportional to 30,309.96, 45,464.40 and 10,588.44

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Solution

The fourth proportional to 30,309.96, 45,464.40 and 10,588.44 is: 15,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.96 : 45,464.40 = 10,588.44 : x
  2. Step 2: Convert to fraction form
    30,309.96/45,464.40 = 10,588.44/x
  3. Step 3: Cross multiply
    30,309.96x = 45,464.40 × 10,588.44
  4. Step 4: Simplify right side
    30,309.96x = 481,397,071.54
  5. Step 5: Solve for x
    x = 481,397,071.54/30,309.96
  6. Step 6: Final answer
    x = 15,882.47

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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.