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Finding the Fourth Proportional to 31,874.49, 43,985.45 and 17,533.41

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Solution

The fourth proportional to 31,874.49, 43,985.45 and 17,533.41 is: 24,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.49 : 43,985.45 = 17,533.41 : x
  2. Step 2: Convert to fraction form
    31,874.49/43,985.45 = 17,533.41/x
  3. Step 3: Cross multiply
    31,874.49x = 43,985.45 × 17,533.41
  4. Step 4: Simplify right side
    31,874.49x = 771,214,841.22
  5. Step 5: Solve for x
    x = 771,214,841.22/31,874.49
  6. Step 6: Final answer
    x = 24,195.36

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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.