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Finding the Fourth Proportional to 31,420.96, 47,138.42 and 10,367.53

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Solution

The fourth proportional to 31,420.96, 47,138.42 and 10,367.53 is: 15,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.96 : 47,138.42 = 10,367.53 : x
  2. Step 2: Convert to fraction form
    31,420.96/47,138.42 = 10,367.53/x
  3. Step 3: Cross multiply
    31,420.96x = 47,138.42 × 10,367.53
  4. Step 4: Simplify right side
    31,420.96x = 488,708,983.50
  5. Step 5: Solve for x
    x = 488,708,983.50/31,420.96
  6. Step 6: Final answer
    x = 15,553.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.