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Finding the Fourth Proportional to 29,325, 40,468.50 and 16,077

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Solution

The fourth proportional to 29,325, 40,468.50 and 16,077 is: 22,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325 : 40,468.50 = 16,077 : x
  2. Step 2: Convert to fraction form
    29,325/40,468.50 = 16,077/x
  3. Step 3: Cross multiply
    29,325x = 40,468.50 × 16,077
  4. Step 4: Simplify right side
    29,325x = 650,612,074.50
  5. Step 5: Solve for x
    x = 650,612,074.50/29,325
  6. Step 6: Final answer
    x = 22,186.26

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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.