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Finding the Fourth Proportional to 31,820.34, 43,909.50 and 18,392.46

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Solution

The fourth proportional to 31,820.34, 43,909.50 and 18,392.46 is: 25,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.34 : 43,909.50 = 18,392.46 : x
  2. Step 2: Convert to fraction form
    31,820.34/43,909.50 = 18,392.46/x
  3. Step 3: Cross multiply
    31,820.34x = 43,909.50 × 18,392.46
  4. Step 4: Simplify right side
    31,820.34x = 807,603,722.37
  5. Step 5: Solve for x
    x = 807,603,722.37/31,820.34
  6. Step 6: Final answer
    x = 25,380.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.