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Finding the Fourth Proportional to 57,774.21, 86,644.10 and 24,493.74

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Solution

The fourth proportional to 57,774.21, 86,644.10 and 24,493.74 is: 36,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774.21 : 86,644.10 = 24,493.74 : x
  2. Step 2: Convert to fraction form
    57,774.21/86,644.10 = 24,493.74/x
  3. Step 3: Cross multiply
    57,774.21x = 86,644.10 × 24,493.74
  4. Step 4: Simplify right side
    57,774.21x = 2,122,237,935.47
  5. Step 5: Solve for x
    x = 2,122,237,935.47/57,774.21
  6. Step 6: Final answer
    x = 36,733.31

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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.