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Finding the Fourth Proportional to 42,456, 63,711.36 and 17,832

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Solution

The fourth proportional to 42,456, 63,711.36 and 17,832 is: 26,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456 : 63,711.36 = 17,832 : x
  2. Step 2: Convert to fraction form
    42,456/63,711.36 = 17,832/x
  3. Step 3: Cross multiply
    42,456x = 63,711.36 × 17,832
  4. Step 4: Simplify right side
    42,456x = 1,136,100,971.52
  5. Step 5: Solve for x
    x = 1,136,100,971.52/42,456
  6. Step 6: Final answer
    x = 26,759.49

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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.