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Finding the Fourth Proportional to 35,270, 48,674.04 and 20,366

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Solution

The fourth proportional to 35,270, 48,674.04 and 20,366 is: 28,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270 : 48,674.04 = 20,366 : x
  2. Step 2: Convert to fraction form
    35,270/48,674.04 = 20,366/x
  3. Step 3: Cross multiply
    35,270x = 48,674.04 × 20,366
  4. Step 4: Simplify right side
    35,270x = 991,295,498.64
  5. Step 5: Solve for x
    x = 991,295,498.64/35,270
  6. Step 6: Final answer
    x = 28,105.91

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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.