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Finding the Fourth Proportional to 30,254.40, 45,381.78 and 10,519.14

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Solution

The fourth proportional to 30,254.40, 45,381.78 and 10,519.14 is: 15,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.40 : 45,381.78 = 10,519.14 : x
  2. Step 2: Convert to fraction form
    30,254.40/45,381.78 = 10,519.14/x
  3. Step 3: Cross multiply
    30,254.40x = 45,381.78 × 10,519.14
  4. Step 4: Simplify right side
    30,254.40x = 477,377,297.27
  5. Step 5: Solve for x
    x = 477,377,297.27/30,254.40
  6. Step 6: Final answer
    x = 15,778.77

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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.