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Finding the Fourth Proportional to 104,638.84, 156,971.22 and 38,110.30

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Solution

The fourth proportional to 104,638.84, 156,971.22 and 38,110.30 is: 57,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,638.84 : 156,971.22 = 38,110.30 : x
  2. Step 2: Convert to fraction form
    104,638.84/156,971.22 = 38,110.30/x
  3. Step 3: Cross multiply
    104,638.84x = 156,971.22 × 38,110.30
  4. Step 4: Simplify right side
    104,638.84x = 5,982,220,285.57
  5. Step 5: Solve for x
    x = 5,982,220,285.57/104,638.84
  6. Step 6: Final answer
    x = 57,170.17

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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.