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Finding the Fourth Proportional to 20,059.92, 30,092.82 and 6,210

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Solution

The fourth proportional to 20,059.92, 30,092.82 and 6,210 is: 9,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.92 : 30,092.82 = 6,210 : x
  2. Step 2: Convert to fraction form
    20,059.92/30,092.82 = 6,210/x
  3. Step 3: Cross multiply
    20,059.92x = 30,092.82 × 6,210
  4. Step 4: Simplify right side
    20,059.92x = 186,876,412.20
  5. Step 5: Solve for x
    x = 186,876,412.20/20,059.92
  6. Step 6: Final answer
    x = 9,315.91

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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.