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Finding the Fourth Proportional to 29,082.96, 43,624.71 and 18,702

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Solution

The fourth proportional to 29,082.96, 43,624.71 and 18,702 is: 28,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.96 : 43,624.71 = 18,702 : x
  2. Step 2: Convert to fraction form
    29,082.96/43,624.71 = 18,702/x
  3. Step 3: Cross multiply
    29,082.96x = 43,624.71 × 18,702
  4. Step 4: Simplify right side
    29,082.96x = 815,869,326.42
  5. Step 5: Solve for x
    x = 815,869,326.42/29,082.96
  6. Step 6: Final answer
    x = 28,053.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.