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Finding the Fourth Proportional to 52,266.22, 78,400.38 and 16,734.32

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Solution

The fourth proportional to 52,266.22, 78,400.38 and 16,734.32 is: 25,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,266.22 : 78,400.38 = 16,734.32 : x
  2. Step 2: Convert to fraction form
    52,266.22/78,400.38 = 16,734.32/x
  3. Step 3: Cross multiply
    52,266.22x = 78,400.38 × 16,734.32
  4. Step 4: Simplify right side
    52,266.22x = 1,311,976,963.37
  5. Step 5: Solve for x
    x = 1,311,976,963.37/52,266.22
  6. Step 6: Final answer
    x = 25,101.81

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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.