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Finding the Fourth Proportional to 30,136.40, 45,195.96 and 10,414.16

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Solution

The fourth proportional to 30,136.40, 45,195.96 and 10,414.16 is: 15,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.40 : 45,195.96 = 10,414.16 : x
  2. Step 2: Convert to fraction form
    30,136.40/45,195.96 = 10,414.16/x
  3. Step 3: Cross multiply
    30,136.40x = 45,195.96 × 10,414.16
  4. Step 4: Simplify right side
    30,136.40x = 470,677,958.79
  5. Step 5: Solve for x
    x = 470,677,958.79/30,136.40
  6. Step 6: Final answer
    x = 15,618.25

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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.