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Finding the Fourth Proportional to 32,199.91, 44,438.56 and 17,864.38

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Solution

The fourth proportional to 32,199.91, 44,438.56 and 17,864.38 is: 24,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.91 : 44,438.56 = 17,864.38 : x
  2. Step 2: Convert to fraction form
    32,199.91/44,438.56 = 17,864.38/x
  3. Step 3: Cross multiply
    32,199.91x = 44,438.56 × 17,864.38
  4. Step 4: Simplify right side
    32,199.91x = 793,867,333.38
  5. Step 5: Solve for x
    x = 793,867,333.38/32,199.91
  6. Step 6: Final answer
    x = 24,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.