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Finding the Fourth Proportional to 31,498.63, 43,468.10 and 17,351.77

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Solution

The fourth proportional to 31,498.63, 43,468.10 and 17,351.77 is: 23,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.63 : 43,468.10 = 17,351.77 : x
  2. Step 2: Convert to fraction form
    31,498.63/43,468.10 = 17,351.77/x
  3. Step 3: Cross multiply
    31,498.63x = 43,468.10 × 17,351.77
  4. Step 4: Simplify right side
    31,498.63x = 754,248,473.54
  5. Step 5: Solve for x
    x = 754,248,473.54/31,498.63
  6. Step 6: Final answer
    x = 23,945.44

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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.