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Finding the Fourth Proportional to 30,144.96, 45,213.80 and 15,364.49

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Solution

The fourth proportional to 30,144.96, 45,213.80 and 15,364.49 is: 23,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.96 : 45,213.80 = 15,364.49 : x
  2. Step 2: Convert to fraction form
    30,144.96/45,213.80 = 15,364.49/x
  3. Step 3: Cross multiply
    30,144.96x = 45,213.80 × 15,364.49
  4. Step 4: Simplify right side
    30,144.96x = 694,686,675.07
  5. Step 5: Solve for x
    x = 694,686,675.07/30,144.96
  6. Step 6: Final answer
    x = 23,044.87

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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.