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Finding the Fourth Proportional to 30,149.16, 45,224.43 and 11,438.01

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Solution

The fourth proportional to 30,149.16, 45,224.43 and 11,438.01 is: 17,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.16 : 45,224.43 = 11,438.01 : x
  2. Step 2: Convert to fraction form
    30,149.16/45,224.43 = 11,438.01/x
  3. Step 3: Cross multiply
    30,149.16x = 45,224.43 × 11,438.01
  4. Step 4: Simplify right side
    30,149.16x = 517,277,439.69
  5. Step 5: Solve for x
    x = 517,277,439.69/30,149.16
  6. Step 6: Final answer
    x = 17,157.27

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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.