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Finding the Fourth Proportional to 39,508.42, 59,231.87 and 19,776.82

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Solution

The fourth proportional to 39,508.42, 59,231.87 and 19,776.82 is: 29,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,508.42 : 59,231.87 = 19,776.82 : x
  2. Step 2: Convert to fraction form
    39,508.42/59,231.87 = 19,776.82/x
  3. Step 3: Cross multiply
    39,508.42x = 59,231.87 × 19,776.82
  4. Step 4: Simplify right side
    39,508.42x = 1,171,418,031.25
  5. Step 5: Solve for x
    x = 1,171,418,031.25/39,508.42
  6. Step 6: Final answer
    x = 29,649.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.