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Finding the Fourth Proportional to 54,954.72, 82,433.52 and 15,516

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Solution

The fourth proportional to 54,954.72, 82,433.52 and 15,516 is: 23,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954.72 : 82,433.52 = 15,516 : x
  2. Step 2: Convert to fraction form
    54,954.72/82,433.52 = 15,516/x
  3. Step 3: Cross multiply
    54,954.72x = 82,433.52 × 15,516
  4. Step 4: Simplify right side
    54,954.72x = 1,279,038,496.32
  5. Step 5: Solve for x
    x = 1,279,038,496.32/54,954.72
  6. Step 6: Final answer
    x = 23,274.41

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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.