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Finding the Fourth Proportional to 53,499.57, 80,205.57 and 20,200.74

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Solution

The fourth proportional to 53,499.57, 80,205.57 and 20,200.74 is: 30,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,499.57 : 80,205.57 = 20,200.74 : x
  2. Step 2: Convert to fraction form
    53,499.57/80,205.57 = 20,200.74/x
  3. Step 3: Cross multiply
    53,499.57x = 80,205.57 × 20,200.74
  4. Step 4: Simplify right side
    53,499.57x = 1,620,211,866.12
  5. Step 5: Solve for x
    x = 1,620,211,866.12/53,499.57
  6. Step 6: Final answer
    x = 30,284.58

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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.