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Finding the Fourth Proportional to 10,032.99, 15,049.56 and 3,013.06

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Solution

The fourth proportional to 10,032.99, 15,049.56 and 3,013.06 is: 4,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.99 : 15,049.56 = 3,013.06 : x
  2. Step 2: Convert to fraction form
    10,032.99/15,049.56 = 3,013.06/x
  3. Step 3: Cross multiply
    10,032.99x = 15,049.56 × 3,013.06
  4. Step 4: Simplify right side
    10,032.99x = 45,345,212.19
  5. Step 5: Solve for x
    x = 45,345,212.19/10,032.99
  6. Step 6: Final answer
    x = 4,519.61

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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.