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Finding the Fourth Proportional to 34,144.86, 51,241.23 and 14,154.66

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Solution

The fourth proportional to 34,144.86, 51,241.23 and 14,154.66 is: 21,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.86 : 51,241.23 = 14,154.66 : x
  2. Step 2: Convert to fraction form
    34,144.86/51,241.23 = 14,154.66/x
  3. Step 3: Cross multiply
    34,144.86x = 51,241.23 × 14,154.66
  4. Step 4: Simplify right side
    34,144.86x = 725,302,188.63
  5. Step 5: Solve for x
    x = 725,302,188.63/34,144.86
  6. Step 6: Final answer
    x = 21,241.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.