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Finding the Fourth Proportional to 109,594, 164,391 and 35,722

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Solution

The fourth proportional to 109,594, 164,391 and 35,722 is: 53,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594 : 164,391 = 35,722 : x
  2. Step 2: Convert to fraction form
    109,594/164,391 = 35,722/x
  3. Step 3: Cross multiply
    109,594x = 164,391 × 35,722
  4. Step 4: Simplify right side
    109,594x = 5,872,375,302
  5. Step 5: Solve for x
    x = 5,872,375,302/109,594
  6. Step 6: Final answer
    x = 53,583

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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.