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Finding the Fourth Proportional to 29,443, 40,631.98 and 16,195

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Solution

The fourth proportional to 29,443, 40,631.98 and 16,195 is: 22,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443 : 40,631.98 = 16,195 : x
  2. Step 2: Convert to fraction form
    29,443/40,631.98 = 16,195/x
  3. Step 3: Cross multiply
    29,443x = 40,631.98 × 16,195
  4. Step 4: Simplify right side
    29,443x = 658,034,916.10
  5. Step 5: Solve for x
    x = 658,034,916.10/29,443
  6. Step 6: Final answer
    x = 22,349.45

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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.