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Finding the Fourth Proportional to 53,201.80, 79,814.34 and 15,764.80

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Solution

The fourth proportional to 53,201.80, 79,814.34 and 15,764.80 is: 23,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.80 : 79,814.34 = 15,764.80 : x
  2. Step 2: Convert to fraction form
    53,201.80/79,814.34 = 15,764.80/x
  3. Step 3: Cross multiply
    53,201.80x = 79,814.34 × 15,764.80
  4. Step 4: Simplify right side
    53,201.80x = 1,258,257,107.23
  5. Step 5: Solve for x
    x = 1,258,257,107.23/53,201.80
  6. Step 6: Final answer
    x = 23,650.65

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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.