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Finding the Fourth Proportional to 29,114.92, 40,176.84 and 17,182

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Solution

The fourth proportional to 29,114.92, 40,176.84 and 17,182 is: 23,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114.92 : 40,176.84 = 17,182 : x
  2. Step 2: Convert to fraction form
    29,114.92/40,176.84 = 17,182/x
  3. Step 3: Cross multiply
    29,114.92x = 40,176.84 × 17,182
  4. Step 4: Simplify right side
    29,114.92x = 690,318,464.88
  5. Step 5: Solve for x
    x = 690,318,464.88/29,114.92
  6. Step 6: Final answer
    x = 23,710.13

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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.