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Finding the Fourth Proportional to 53,478.20, 80,217.30 and 37,731.80

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Solution

The fourth proportional to 53,478.20, 80,217.30 and 37,731.80 is: 56,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.20 : 80,217.30 = 37,731.80 : x
  2. Step 2: Convert to fraction form
    53,478.20/80,217.30 = 37,731.80/x
  3. Step 3: Cross multiply
    53,478.20x = 80,217.30 × 37,731.80
  4. Step 4: Simplify right side
    53,478.20x = 3,026,743,120.14
  5. Step 5: Solve for x
    x = 3,026,743,120.14/53,478.20
  6. Step 6: Final answer
    x = 56,597.70

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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.