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Finding the Fourth Proportional to 57,852.30, 86,791.80 and 24,573.44

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Solution

The fourth proportional to 57,852.30, 86,791.80 and 24,573.44 is: 36,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852.30 : 86,791.80 = 24,573.44 : x
  2. Step 2: Convert to fraction form
    57,852.30/86,791.80 = 24,573.44/x
  3. Step 3: Cross multiply
    57,852.30x = 86,791.80 × 24,573.44
  4. Step 4: Simplify right side
    57,852.30x = 2,132,773,089.79
  5. Step 5: Solve for x
    x = 2,132,773,089.79/57,852.30
  6. Step 6: Final answer
    x = 36,865.83

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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.