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Finding the Fourth Proportional to 57,092.84, 85,424.22 and 39,596.52

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Solution

The fourth proportional to 57,092.84, 85,424.22 and 39,596.52 is: 59,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,092.84 : 85,424.22 = 39,596.52 : x
  2. Step 2: Convert to fraction form
    57,092.84/85,424.22 = 39,596.52/x
  3. Step 3: Cross multiply
    57,092.84x = 85,424.22 × 39,596.52
  4. Step 4: Simplify right side
    57,092.84x = 3,382,501,835.71
  5. Step 5: Solve for x
    x = 3,382,501,835.71/57,092.84
  6. Step 6: Final answer
    x = 59,245.64

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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.