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Finding the Fourth Proportional to 30,141.44, 45,212.16 and 10,409.24

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Solution

The fourth proportional to 30,141.44, 45,212.16 and 10,409.24 is: 15,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.44 : 45,212.16 = 10,409.24 : x
  2. Step 2: Convert to fraction form
    30,141.44/45,212.16 = 10,409.24/x
  3. Step 3: Cross multiply
    30,141.44x = 45,212.16 × 10,409.24
  4. Step 4: Simplify right side
    30,141.44x = 470,624,224.36
  5. Step 5: Solve for x
    x = 470,624,224.36/30,141.44
  6. Step 6: Final answer
    x = 15,613.86

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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.