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Finding the Fourth Proportional to 30,419.87, 45,634.19 and 9,361.71

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Solution

The fourth proportional to 30,419.87, 45,634.19 and 9,361.71 is: 14,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.87 : 45,634.19 = 9,361.71 : x
  2. Step 2: Convert to fraction form
    30,419.87/45,634.19 = 9,361.71/x
  3. Step 3: Cross multiply
    30,419.87x = 45,634.19 × 9,361.71
  4. Step 4: Simplify right side
    30,419.87x = 427,214,006.06
  5. Step 5: Solve for x
    x = 427,214,006.06/30,419.87
  6. Step 6: Final answer
    x = 14,043.92

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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.