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Finding the Fourth Proportional to 32,198.36, 44,434.10 and 17,858.47

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Solution

The fourth proportional to 32,198.36, 44,434.10 and 17,858.47 is: 24,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.36 : 44,434.10 = 17,858.47 : x
  2. Step 2: Convert to fraction form
    32,198.36/44,434.10 = 17,858.47/x
  3. Step 3: Cross multiply
    32,198.36x = 44,434.10 × 17,858.47
  4. Step 4: Simplify right side
    32,198.36x = 793,524,841.45
  5. Step 5: Solve for x
    x = 793,524,841.45/32,198.36
  6. Step 6: Final answer
    x = 24,644.89

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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.