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Finding the Fourth Proportional to 53,465.24, 80,197.90 and 16,029.24

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Solution

The fourth proportional to 53,465.24, 80,197.90 and 16,029.24 is: 24,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,465.24 : 80,197.90 = 16,029.24 : x
  2. Step 2: Convert to fraction form
    53,465.24/80,197.90 = 16,029.24/x
  3. Step 3: Cross multiply
    53,465.24x = 80,197.90 × 16,029.24
  4. Step 4: Simplify right side
    53,465.24x = 1,285,511,346.52
  5. Step 5: Solve for x
    x = 1,285,511,346.52/53,465.24
  6. Step 6: Final answer
    x = 24,043.87

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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.