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Finding the Fourth Proportional to 39,540, 59,310.06 and 16,166.40

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Solution

The fourth proportional to 39,540, 59,310.06 and 16,166.40 is: 24,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,540 : 59,310.06 = 16,166.40 : x
  2. Step 2: Convert to fraction form
    39,540/59,310.06 = 16,166.40/x
  3. Step 3: Cross multiply
    39,540x = 59,310.06 × 16,166.40
  4. Step 4: Simplify right side
    39,540x = 958,830,153.98
  5. Step 5: Solve for x
    x = 958,830,153.98/39,540
  6. Step 6: Final answer
    x = 24,249.62

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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.