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Finding the Fourth Proportional to 32,175, 44,401.50 and 20,997

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Solution

The fourth proportional to 32,175, 44,401.50 and 20,997 is: 28,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175 : 44,401.50 = 20,997 : x
  2. Step 2: Convert to fraction form
    32,175/44,401.50 = 20,997/x
  3. Step 3: Cross multiply
    32,175x = 44,401.50 × 20,997
  4. Step 4: Simplify right side
    32,175x = 932,298,295.50
  5. Step 5: Solve for x
    x = 932,298,295.50/32,175
  6. Step 6: Final answer
    x = 28,975.86

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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.