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Finding the Fourth Proportional to 71,777.50, 107,667.21 and 22,529.50

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Solution

The fourth proportional to 71,777.50, 107,667.21 and 22,529.50 is: 33,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777.50 : 107,667.21 = 22,529.50 : x
  2. Step 2: Convert to fraction form
    71,777.50/107,667.21 = 22,529.50/x
  3. Step 3: Cross multiply
    71,777.50x = 107,667.21 × 22,529.50
  4. Step 4: Simplify right side
    71,777.50x = 2,425,688,407.70
  5. Step 5: Solve for x
    x = 2,425,688,407.70/71,777.50
  6. Step 6: Final answer
    x = 33,794.55

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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.