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Finding the Fourth Proportional to 38,269.45, 52,813.11 and 23,164.84

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Solution

The fourth proportional to 38,269.45, 52,813.11 and 23,164.84 is: 31,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.45 : 52,813.11 = 23,164.84 : x
  2. Step 2: Convert to fraction form
    38,269.45/52,813.11 = 23,164.84/x
  3. Step 3: Cross multiply
    38,269.45x = 52,813.11 × 23,164.84
  4. Step 4: Simplify right side
    38,269.45x = 1,223,407,243.05
  5. Step 5: Solve for x
    x = 1,223,407,243.05/38,269.45
  6. Step 6: Final answer
    x = 31,968.25

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Why These Related Problems?

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