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Finding the Fourth Proportional to 103,640.96, 155,461.44 and 29,768.96

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Solution

The fourth proportional to 103,640.96, 155,461.44 and 29,768.96 is: 44,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.96 : 155,461.44 = 29,768.96 : x
  2. Step 2: Convert to fraction form
    103,640.96/155,461.44 = 29,768.96/x
  3. Step 3: Cross multiply
    103,640.96x = 155,461.44 × 29,768.96
  4. Step 4: Simplify right side
    103,640.96x = 4,627,925,388.90
  5. Step 5: Solve for x
    x = 4,627,925,388.90/103,640.96
  6. Step 6: Final answer
    x = 44,653.44

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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.