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Finding the Fourth Proportional to 38,511.85, 53,145.37 and 21,516.22

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Solution

The fourth proportional to 38,511.85, 53,145.37 and 21,516.22 is: 29,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.85 : 53,145.37 = 21,516.22 : x
  2. Step 2: Convert to fraction form
    38,511.85/53,145.37 = 21,516.22/x
  3. Step 3: Cross multiply
    38,511.85x = 53,145.37 × 21,516.22
  4. Step 4: Simplify right side
    38,511.85x = 1,143,487,423.29
  5. Step 5: Solve for x
    x = 1,143,487,423.29/38,511.85
  6. Step 6: Final answer
    x = 29,691.83

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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.