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Finding the Fourth Proportional to 30,195.40, 45,343.86 and 19,683.16

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Solution

The fourth proportional to 30,195.40, 45,343.86 and 19,683.16 is: 29,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.40 : 45,343.86 = 19,683.16 : x
  2. Step 2: Convert to fraction form
    30,195.40/45,343.86 = 19,683.16/x
  3. Step 3: Cross multiply
    30,195.40x = 45,343.86 × 19,683.16
  4. Step 4: Simplify right side
    30,195.40x = 892,510,451.40
  5. Step 5: Solve for x
    x = 892,510,451.40/30,195.40
  6. Step 6: Final answer
    x = 29,557.83

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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.