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Finding the Fourth Proportional to 38,145.12, 52,640.16 and 23,241.12

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Solution

The fourth proportional to 38,145.12, 52,640.16 and 23,241.12 is: 32,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,145.12 : 52,640.16 = 23,241.12 : x
  2. Step 2: Convert to fraction form
    38,145.12/52,640.16 = 23,241.12/x
  3. Step 3: Cross multiply
    38,145.12x = 52,640.16 × 23,241.12
  4. Step 4: Simplify right side
    38,145.12x = 1,223,416,275.38
  5. Step 5: Solve for x
    x = 1,223,416,275.38/38,145.12
  6. Step 6: Final answer
    x = 32,072.68

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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.