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Finding the Fourth Proportional to 32,092.38, 44,291.61 and 17,946.02

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Solution

The fourth proportional to 32,092.38, 44,291.61 and 17,946.02 is: 24,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.38 : 44,291.61 = 17,946.02 : x
  2. Step 2: Convert to fraction form
    32,092.38/44,291.61 = 17,946.02/x
  3. Step 3: Cross multiply
    32,092.38x = 44,291.61 × 17,946.02
  4. Step 4: Simplify right side
    32,092.38x = 794,858,118.89
  5. Step 5: Solve for x
    x = 794,858,118.89/32,092.38
  6. Step 6: Final answer
    x = 24,767.81

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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.