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Finding the Fourth Proportional to 32,092.38, 44,284.07 and 17,749.93

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Solution

The fourth proportional to 32,092.38, 44,284.07 and 17,749.93 is: 24,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.38 : 44,284.07 = 17,749.93 : x
  2. Step 2: Convert to fraction form
    32,092.38/44,284.07 = 17,749.93/x
  3. Step 3: Cross multiply
    32,092.38x = 44,284.07 × 17,749.93
  4. Step 4: Simplify right side
    32,092.38x = 786,039,142.62
  5. Step 5: Solve for x
    x = 786,039,142.62/32,092.38
  6. Step 6: Final answer
    x = 24,493.01

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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.