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Finding the Fourth Proportional to 39,830.90, 59,745.82 and 16,138.25

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Solution

The fourth proportional to 39,830.90, 59,745.82 and 16,138.25 is: 24,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.90 : 59,745.82 = 16,138.25 : x
  2. Step 2: Convert to fraction form
    39,830.90/59,745.82 = 16,138.25/x
  3. Step 3: Cross multiply
    39,830.90x = 59,745.82 × 16,138.25
  4. Step 4: Simplify right side
    39,830.90x = 964,192,979.62
  5. Step 5: Solve for x
    x = 964,192,979.62/39,830.90
  6. Step 6: Final answer
    x = 24,207.16

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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.