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Finding the Fourth Proportional to 35,970, 49,639.22 and 20,052.69

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Solution

The fourth proportional to 35,970, 49,639.22 and 20,052.69 is: 27,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970 : 49,639.22 = 20,052.69 : x
  2. Step 2: Convert to fraction form
    35,970/49,639.22 = 20,052.69/x
  3. Step 3: Cross multiply
    35,970x = 49,639.22 × 20,052.69
  4. Step 4: Simplify right side
    35,970x = 995,399,890.50
  5. Step 5: Solve for x
    x = 995,399,890.50/35,970
  6. Step 6: Final answer
    x = 27,673.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.