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Finding the Fourth Proportional to 109,706.62, 164,543.12 and 34,817.06

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Solution

The fourth proportional to 109,706.62, 164,543.12 and 34,817.06 is: 52,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.62 : 164,543.12 = 34,817.06 : x
  2. Step 2: Convert to fraction form
    109,706.62/164,543.12 = 34,817.06/x
  3. Step 3: Cross multiply
    109,706.62x = 164,543.12 × 34,817.06
  4. Step 4: Simplify right side
    109,706.62x = 5,728,906,815.39
  5. Step 5: Solve for x
    x = 5,728,906,815.39/109,706.62
  6. Step 6: Final answer
    x = 52,220.25

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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.