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Finding the Fourth Proportional to 31,446, 43,360.05 and 24,259.56

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Solution

The fourth proportional to 31,446, 43,360.05 and 24,259.56 is: 33,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446 : 43,360.05 = 24,259.56 : x
  2. Step 2: Convert to fraction form
    31,446/43,360.05 = 24,259.56/x
  3. Step 3: Cross multiply
    31,446x = 43,360.05 × 24,259.56
  4. Step 4: Simplify right side
    31,446x = 1,051,895,734.58
  5. Step 5: Solve for x
    x = 1,051,895,734.58/31,446
  6. Step 6: Final answer
    x = 33,450.86

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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.