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Finding the Fourth Proportional to 57,764.56, 79,698.16 and 33,892.24

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Solution

The fourth proportional to 57,764.56, 79,698.16 and 33,892.24 is: 46,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.56 : 79,698.16 = 33,892.24 : x
  2. Step 2: Convert to fraction form
    57,764.56/79,698.16 = 33,892.24/x
  3. Step 3: Cross multiply
    57,764.56x = 79,698.16 × 33,892.24
  4. Step 4: Simplify right side
    57,764.56x = 2,701,149,166.28
  5. Step 5: Solve for x
    x = 2,701,149,166.28/57,764.56
  6. Step 6: Final answer
    x = 46,761.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.