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Finding the Fourth Proportional to 47,424.48, 71,157.36 and 22,482

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Solution

The fourth proportional to 47,424.48, 71,157.36 and 22,482 is: 33,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424.48 : 71,157.36 = 22,482 : x
  2. Step 2: Convert to fraction form
    47,424.48/71,157.36 = 22,482/x
  3. Step 3: Cross multiply
    47,424.48x = 71,157.36 × 22,482
  4. Step 4: Simplify right side
    47,424.48x = 1,599,759,767.52
  5. Step 5: Solve for x
    x = 1,599,759,767.52/47,424.48
  6. Step 6: Final answer
    x = 33,732.78

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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.