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Finding the Fourth Proportional to 31,597.47, 43,604.54 and 17,257.50

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Solution

The fourth proportional to 31,597.47, 43,604.54 and 17,257.50 is: 23,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.47 : 43,604.54 = 17,257.50 : x
  2. Step 2: Convert to fraction form
    31,597.47/43,604.54 = 17,257.50/x
  3. Step 3: Cross multiply
    31,597.47x = 43,604.54 × 17,257.50
  4. Step 4: Simplify right side
    31,597.47x = 752,505,262.76
  5. Step 5: Solve for x
    x = 752,505,262.76/31,597.47
  6. Step 6: Final answer
    x = 23,815.36

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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.