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Finding the Fourth Proportional to 31,665.61, 43,698.80 and 17,519.37

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Solution

The fourth proportional to 31,665.61, 43,698.80 and 17,519.37 is: 24,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.61 : 43,698.80 = 17,519.37 : x
  2. Step 2: Convert to fraction form
    31,665.61/43,698.80 = 17,519.37/x
  3. Step 3: Cross multiply
    31,665.61x = 43,698.80 × 17,519.37
  4. Step 4: Simplify right side
    31,665.61x = 765,575,445.76
  5. Step 5: Solve for x
    x = 765,575,445.76/31,665.61
  6. Step 6: Final answer
    x = 24,176.87

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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.