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Finding the Fourth Proportional to 31,705.76, 43,752.79 and 18,277.58

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Solution

The fourth proportional to 31,705.76, 43,752.79 and 18,277.58 is: 25,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.76 : 43,752.79 = 18,277.58 : x
  2. Step 2: Convert to fraction form
    31,705.76/43,752.79 = 18,277.58/x
  3. Step 3: Cross multiply
    31,705.76x = 43,752.79 × 18,277.58
  4. Step 4: Simplify right side
    31,705.76x = 799,695,251.68
  5. Step 5: Solve for x
    x = 799,695,251.68/31,705.76
  6. Step 6: Final answer
    x = 25,222.39

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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.