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Finding the Fourth Proportional to 29,309, 40,446.42 and 16,061

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Solution

The fourth proportional to 29,309, 40,446.42 and 16,061 is: 22,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309 : 40,446.42 = 16,061 : x
  2. Step 2: Convert to fraction form
    29,309/40,446.42 = 16,061/x
  3. Step 3: Cross multiply
    29,309x = 40,446.42 × 16,061
  4. Step 4: Simplify right side
    29,309x = 649,609,951.62
  5. Step 5: Solve for x
    x = 649,609,951.62/29,309
  6. Step 6: Final answer
    x = 22,164.18

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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.