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Finding the Fourth Proportional to 57,244.49, 85,755.55 and 32,208.20

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Solution

The fourth proportional to 57,244.49, 85,755.55 and 32,208.20 is: 48,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,244.49 : 85,755.55 = 32,208.20 : x
  2. Step 2: Convert to fraction form
    57,244.49/85,755.55 = 32,208.20/x
  3. Step 3: Cross multiply
    57,244.49x = 85,755.55 × 32,208.20
  4. Step 4: Simplify right side
    57,244.49x = 2,762,031,905.51
  5. Step 5: Solve for x
    x = 2,762,031,905.51/57,244.49
  6. Step 6: Final answer
    x = 48,249.74

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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.