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Finding the Fourth Proportional to 103,213.25, 154,845.90 and 29,341.25

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Solution

The fourth proportional to 103,213.25, 154,845.90 and 29,341.25 is: 44,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.25 : 154,845.90 = 29,341.25 : x
  2. Step 2: Convert to fraction form
    103,213.25/154,845.90 = 29,341.25/x
  3. Step 3: Cross multiply
    103,213.25x = 154,845.90 × 29,341.25
  4. Step 4: Simplify right side
    103,213.25x = 4,543,372,116.67
  5. Step 5: Solve for x
    x = 4,543,372,116.67/103,213.25
  6. Step 6: Final answer
    x = 44,019.27

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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.