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Finding the Fourth Proportional to 31,473.96, 47,211.39 and 12,503.31

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Solution

The fourth proportional to 31,473.96, 47,211.39 and 12,503.31 is: 18,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.96 : 47,211.39 = 12,503.31 : x
  2. Step 2: Convert to fraction form
    31,473.96/47,211.39 = 12,503.31/x
  3. Step 3: Cross multiply
    31,473.96x = 47,211.39 × 12,503.31
  4. Step 4: Simplify right side
    31,473.96x = 590,298,644.70
  5. Step 5: Solve for x
    x = 590,298,644.70/31,473.96
  6. Step 6: Final answer
    x = 18,755.14

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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.