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Finding the Fourth Proportional to 35,644.75, 53,467.13 and 11,020.75

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Solution

The fourth proportional to 35,644.75, 53,467.13 and 11,020.75 is: 16,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.75 : 53,467.13 = 11,020.75 : x
  2. Step 2: Convert to fraction form
    35,644.75/53,467.13 = 11,020.75/x
  3. Step 3: Cross multiply
    35,644.75x = 53,467.13 × 11,020.75
  4. Step 4: Simplify right side
    35,644.75x = 589,247,872.95
  5. Step 5: Solve for x
    x = 589,247,872.95/35,644.75
  6. Step 6: Final answer
    x = 16,531.13

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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.