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Finding the Fourth Proportional to 42,048, 63,072 and 23,581.44

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Solution

The fourth proportional to 42,048, 63,072 and 23,581.44 is: 35,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048 : 63,072 = 23,581.44 : x
  2. Step 2: Convert to fraction form
    42,048/63,072 = 23,581.44/x
  3. Step 3: Cross multiply
    42,048x = 63,072 × 23,581.44
  4. Step 4: Simplify right side
    42,048x = 1,487,328,583.68
  5. Step 5: Solve for x
    x = 1,487,328,583.68/42,048
  6. Step 6: Final answer
    x = 35,372.16

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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.