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Finding the Fourth Proportional to 39,785, 59,679.90 and 12,083.24

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Solution

The fourth proportional to 39,785, 59,679.90 and 12,083.24 is: 18,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785 : 59,679.90 = 12,083.24 : x
  2. Step 2: Convert to fraction form
    39,785/59,679.90 = 12,083.24/x
  3. Step 3: Cross multiply
    39,785x = 59,679.90 × 12,083.24
  4. Step 4: Simplify right side
    39,785x = 721,126,554.88
  5. Step 5: Solve for x
    x = 721,126,554.88/39,785
  6. Step 6: Final answer
    x = 18,125.59

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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.