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Finding the Fourth Proportional to 53,821.20, 80,731.80 and 47,254.80

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Solution

The fourth proportional to 53,821.20, 80,731.80 and 47,254.80 is: 70,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,821.20 : 80,731.80 = 47,254.80 : x
  2. Step 2: Convert to fraction form
    53,821.20/80,731.80 = 47,254.80/x
  3. Step 3: Cross multiply
    53,821.20x = 80,731.80 × 47,254.80
  4. Step 4: Simplify right side
    53,821.20x = 3,814,965,062.64
  5. Step 5: Solve for x
    x = 3,814,965,062.64/53,821.20
  6. Step 6: Final answer
    x = 70,882.20

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1.5x scale

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.