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Finding the Fourth Proportional to 51,478.97, 77,224.22 and 16,410.49

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Solution

The fourth proportional to 51,478.97, 77,224.22 and 16,410.49 is: 24,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.97 : 77,224.22 = 16,410.49 : x
  2. Step 2: Convert to fraction form
    51,478.97/77,224.22 = 16,410.49/x
  3. Step 3: Cross multiply
    51,478.97x = 77,224.22 × 16,410.49
  4. Step 4: Simplify right side
    51,478.97x = 1,267,287,208.02
  5. Step 5: Solve for x
    x = 1,267,287,208.02/51,478.97
  6. Step 6: Final answer
    x = 24,617.57

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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.