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Finding the Fourth Proportional to 57,101.84, 85,533.24 and 36,221.84

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Solution

The fourth proportional to 57,101.84, 85,533.24 and 36,221.84 is: 54,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.84 : 85,533.24 = 36,221.84 : x
  2. Step 2: Convert to fraction form
    57,101.84/85,533.24 = 36,221.84/x
  3. Step 3: Cross multiply
    57,101.84x = 85,533.24 × 36,221.84
  4. Step 4: Simplify right side
    57,101.84x = 3,098,171,333.96
  5. Step 5: Solve for x
    x = 3,098,171,333.96/57,101.84
  6. Step 6: Final answer
    x = 54,256.94

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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.