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Finding the Fourth Proportional to 71,151.46, 106,761.78 and 33,666.87

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Solution

The fourth proportional to 71,151.46, 106,761.78 and 33,666.87 is: 50,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,151.46 : 106,761.78 = 33,666.87 : x
  2. Step 2: Convert to fraction form
    71,151.46/106,761.78 = 33,666.87/x
  3. Step 3: Cross multiply
    71,151.46x = 106,761.78 × 33,666.87
  4. Step 4: Simplify right side
    71,151.46x = 3,594,334,968.23
  5. Step 5: Solve for x
    x = 3,594,334,968.23/71,151.46
  6. Step 6: Final answer
    x = 50,516.67

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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.