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Finding the Fourth Proportional to 38,170.14, 52,674.81 and 23,266.14

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Solution

The fourth proportional to 38,170.14, 52,674.81 and 23,266.14 is: 32,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170.14 : 52,674.81 = 23,266.14 : x
  2. Step 2: Convert to fraction form
    38,170.14/52,674.81 = 23,266.14/x
  3. Step 3: Cross multiply
    38,170.14x = 52,674.81 × 23,266.14
  4. Step 4: Simplify right side
    38,170.14x = 1,225,539,503.93
  5. Step 5: Solve for x
    x = 1,225,539,503.93/38,170.14
  6. Step 6: Final answer
    x = 32,107.28

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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.