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Finding the Fourth Proportional to 77,561.97, 116,342.96 and 22,157.97

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Solution

The fourth proportional to 77,561.97, 116,342.96 and 22,157.97 is: 33,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,561.97 : 116,342.96 = 22,157.97 : x
  2. Step 2: Convert to fraction form
    77,561.97/116,342.96 = 22,157.97/x
  3. Step 3: Cross multiply
    77,561.97x = 116,342.96 × 22,157.97
  4. Step 4: Simplify right side
    77,561.97x = 2,577,923,706.60
  5. Step 5: Solve for x
    x = 2,577,923,706.60/77,561.97
  6. Step 6: Final answer
    x = 33,236.96

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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.