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Finding the Fourth Proportional to 31,666.68, 43,702.20 and 17,519.76

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Solution

The fourth proportional to 31,666.68, 43,702.20 and 17,519.76 is: 24,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.68 : 43,702.20 = 17,519.76 : x
  2. Step 2: Convert to fraction form
    31,666.68/43,702.20 = 17,519.76/x
  3. Step 3: Cross multiply
    31,666.68x = 43,702.20 × 17,519.76
  4. Step 4: Simplify right side
    31,666.68x = 765,652,055.47
  5. Step 5: Solve for x
    x = 765,652,055.47/31,666.68
  6. Step 6: Final answer
    x = 24,178.48

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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.