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Finding the Fourth Proportional to 29,509.38, 40,723.14 and 16,081

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Solution

The fourth proportional to 29,509.38, 40,723.14 and 16,081 is: 22,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.38 : 40,723.14 = 16,081 : x
  2. Step 2: Convert to fraction form
    29,509.38/40,723.14 = 16,081/x
  3. Step 3: Cross multiply
    29,509.38x = 40,723.14 × 16,081
  4. Step 4: Simplify right side
    29,509.38x = 654,868,814.34
  5. Step 5: Solve for x
    x = 654,868,814.34/29,509.38
  6. Step 6: Final answer
    x = 22,191.89

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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.