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Finding the Fourth Proportional to 10,031, 15,047.30 and 3,105.48

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Solution

The fourth proportional to 10,031, 15,047.30 and 3,105.48 is: 4,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031 : 15,047.30 = 3,105.48 : x
  2. Step 2: Convert to fraction form
    10,031/15,047.30 = 3,105.48/x
  3. Step 3: Cross multiply
    10,031x = 15,047.30 × 3,105.48
  4. Step 4: Simplify right side
    10,031x = 46,729,089.20
  5. Step 5: Solve for x
    x = 46,729,089.20/10,031
  6. Step 6: Final answer
    x = 4,658.47

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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.