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Finding the Fourth Proportional to 42,048, 63,072 and 17,101.62

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Solution

The fourth proportional to 42,048, 63,072 and 17,101.62 is: 25,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048 : 63,072 = 17,101.62 : x
  2. Step 2: Convert to fraction form
    42,048/63,072 = 17,101.62/x
  3. Step 3: Cross multiply
    42,048x = 63,072 × 17,101.62
  4. Step 4: Simplify right side
    42,048x = 1,078,633,376.64
  5. Step 5: Solve for x
    x = 1,078,633,376.64/42,048
  6. Step 6: Final answer
    x = 25,652.43

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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.