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Finding the Fourth Proportional to 51,553.68, 77,314.05 and 16,485

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Solution

The fourth proportional to 51,553.68, 77,314.05 and 16,485 is: 24,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,553.68 : 77,314.05 = 16,485 : x
  2. Step 2: Convert to fraction form
    51,553.68/77,314.05 = 16,485/x
  3. Step 3: Cross multiply
    51,553.68x = 77,314.05 × 16,485
  4. Step 4: Simplify right side
    51,553.68x = 1,274,522,114.25
  5. Step 5: Solve for x
    x = 1,274,522,114.25/51,553.68
  6. Step 6: Final answer
    x = 24,722.23

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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.