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Finding the Fourth Proportional to 31,475.76, 43,436.54 and 17,329.50

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Solution

The fourth proportional to 31,475.76, 43,436.54 and 17,329.50 is: 23,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.76 : 43,436.54 = 17,329.50 : x
  2. Step 2: Convert to fraction form
    31,475.76/43,436.54 = 17,329.50/x
  3. Step 3: Cross multiply
    31,475.76x = 43,436.54 × 17,329.50
  4. Step 4: Simplify right side
    31,475.76x = 752,733,519.93
  5. Step 5: Solve for x
    x = 752,733,519.93/31,475.76
  6. Step 6: Final answer
    x = 23,914.71

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