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Finding the Fourth Proportional to 51,553.52, 71,144.08 and 30,056

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Solution

The fourth proportional to 51,553.52, 71,144.08 and 30,056 is: 41,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,553.52 : 71,144.08 = 30,056 : x
  2. Step 2: Convert to fraction form
    51,553.52/71,144.08 = 30,056/x
  3. Step 3: Cross multiply
    51,553.52x = 71,144.08 × 30,056
  4. Step 4: Simplify right side
    51,553.52x = 2,138,306,468.48
  5. Step 5: Solve for x
    x = 2,138,306,468.48/51,553.52
  6. Step 6: Final answer
    x = 41,477.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.