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Finding the Fourth Proportional to 109,482, 164,223 and 35,610

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Solution

The fourth proportional to 109,482, 164,223 and 35,610 is: 53,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482 : 164,223 = 35,610 : x
  2. Step 2: Convert to fraction form
    109,482/164,223 = 35,610/x
  3. Step 3: Cross multiply
    109,482x = 164,223 × 35,610
  4. Step 4: Simplify right side
    109,482x = 5,847,981,030
  5. Step 5: Solve for x
    x = 5,847,981,030/109,482
  6. Step 6: Final answer
    x = 53,415

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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.