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Finding the Fourth Proportional to 71,200.64, 106,798.56 and 33,778.64

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Solution

The fourth proportional to 71,200.64, 106,798.56 and 33,778.64 is: 50,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.64 : 106,798.56 = 33,778.64 : x
  2. Step 2: Convert to fraction form
    71,200.64/106,798.56 = 33,778.64/x
  3. Step 3: Cross multiply
    71,200.64x = 106,798.56 × 33,778.64
  4. Step 4: Simplify right side
    71,200.64x = 3,607,510,110.76
  5. Step 5: Solve for x
    x = 3,607,510,110.76/71,200.64
  6. Step 6: Final answer
    x = 50,666.82

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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.