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Finding the Fourth Proportional to 39,941, 59,911.50 and 10,757

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Solution

The fourth proportional to 39,941, 59,911.50 and 10,757 is: 16,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,941 : 59,911.50 = 10,757 : x
  2. Step 2: Convert to fraction form
    39,941/59,911.50 = 10,757/x
  3. Step 3: Cross multiply
    39,941x = 59,911.50 × 10,757
  4. Step 4: Simplify right side
    39,941x = 644,468,005.50
  5. Step 5: Solve for x
    x = 644,468,005.50/39,941
  6. Step 6: Final answer
    x = 16,135.50

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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.