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Finding the Fourth Proportional to 30,165.43, 45,242.19 and 10,172.97

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Solution

The fourth proportional to 30,165.43, 45,242.19 and 10,172.97 is: 15,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.43 : 45,242.19 = 10,172.97 : x
  2. Step 2: Convert to fraction form
    30,165.43/45,242.19 = 10,172.97/x
  3. Step 3: Cross multiply
    30,165.43x = 45,242.19 × 10,172.97
  4. Step 4: Simplify right side
    30,165.43x = 460,247,441.60
  5. Step 5: Solve for x
    x = 460,247,441.60/30,165.43
  6. Step 6: Final answer
    x = 15,257.45

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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.