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Finding the Fourth Proportional to 32,031, 44,202.42 and 17,691

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Solution

The fourth proportional to 32,031, 44,202.42 and 17,691 is: 24,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 44,202.42 = 17,691 : x
  2. Step 2: Convert to fraction form
    32,031/44,202.42 = 17,691/x
  3. Step 3: Cross multiply
    32,031x = 44,202.42 × 17,691
  4. Step 4: Simplify right side
    32,031x = 781,985,012.22
  5. Step 5: Solve for x
    x = 781,985,012.22/32,031
  6. Step 6: Final answer
    x = 24,413.38

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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.