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Finding the Fourth Proportional to 32,005.24, 44,169.72 and 17,667.92

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Solution

The fourth proportional to 32,005.24, 44,169.72 and 17,667.92 is: 24,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.24 : 44,169.72 = 17,667.92 : x
  2. Step 2: Convert to fraction form
    32,005.24/44,169.72 = 17,667.92/x
  3. Step 3: Cross multiply
    32,005.24x = 44,169.72 × 17,667.92
  4. Step 4: Simplify right side
    32,005.24x = 780,387,079.38
  5. Step 5: Solve for x
    x = 780,387,079.38/32,005.24
  6. Step 6: Final answer
    x = 24,383.10

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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.