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Finding the Fourth Proportional to 71,814.29, 107,725.46 and 21,896.01

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Solution

The fourth proportional to 71,814.29, 107,725.46 and 21,896.01 is: 32,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.29 : 107,725.46 = 21,896.01 : x
  2. Step 2: Convert to fraction form
    71,814.29/107,725.46 = 21,896.01/x
  3. Step 3: Cross multiply
    71,814.29x = 107,725.46 × 21,896.01
  4. Step 4: Simplify right side
    71,814.29x = 2,358,757,639.93
  5. Step 5: Solve for x
    x = 2,358,757,639.93/71,814.29
  6. Step 6: Final answer
    x = 32,845.24

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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.