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Finding the Fourth Proportional to 20,200.50, 30,292.47 and 7,048.44

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Solution

The fourth proportional to 20,200.50, 30,292.47 and 7,048.44 is: 10,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.50 : 30,292.47 = 7,048.44 : x
  2. Step 2: Convert to fraction form
    20,200.50/30,292.47 = 7,048.44/x
  3. Step 3: Cross multiply
    20,200.50x = 30,292.47 × 7,048.44
  4. Step 4: Simplify right side
    20,200.50x = 213,514,657.25
  5. Step 5: Solve for x
    x = 213,514,657.25/20,200.50
  6. Step 6: Final answer
    x = 10,569.77

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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.