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Finding the Fourth Proportional to 109,220, 163,856 and 35,348

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Solution

The fourth proportional to 109,220, 163,856 and 35,348 is: 53,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220 : 163,856 = 35,348 : x
  2. Step 2: Convert to fraction form
    109,220/163,856 = 35,348/x
  3. Step 3: Cross multiply
    109,220x = 163,856 × 35,348
  4. Step 4: Simplify right side
    109,220x = 5,791,981,888
  5. Step 5: Solve for x
    x = 5,791,981,888/109,220
  6. Step 6: Final answer
    x = 53,030.41

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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.