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Finding the Fourth Proportional to 53,612.52, 80,423.22 and 20,332.54

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Solution

The fourth proportional to 53,612.52, 80,423.22 and 20,332.54 is: 30,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,612.52 : 80,423.22 = 20,332.54 : x
  2. Step 2: Convert to fraction form
    53,612.52/80,423.22 = 20,332.54/x
  3. Step 3: Cross multiply
    53,612.52x = 80,423.22 × 20,332.54
  4. Step 4: Simplify right side
    53,612.52x = 1,635,208,337.58
  5. Step 5: Solve for x
    x = 1,635,208,337.58/53,612.52
  6. Step 6: Final answer
    x = 30,500.49

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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.