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Finding the Fourth Proportional to 36,435.38, 50,302.69 and 23,882.00

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Solution

The fourth proportional to 36,435.38, 50,302.69 and 23,882.00 is: 32,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,435.38 : 50,302.69 = 23,882.00 : x
  2. Step 2: Convert to fraction form
    36,435.38/50,302.69 = 23,882.00/x
  3. Step 3: Cross multiply
    36,435.38x = 50,302.69 × 23,882.00
  4. Step 4: Simplify right side
    36,435.38x = 1,201,328,531.36
  5. Step 5: Solve for x
    x = 1,201,328,531.36/36,435.38
  6. Step 6: Final answer
    x = 32,971.49

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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.