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Finding the Fourth Proportional to 30,142.60, 45,224.82 and 18,320.56

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Solution

The fourth proportional to 30,142.60, 45,224.82 and 18,320.56 is: 27,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.60 : 45,224.82 = 18,320.56 : x
  2. Step 2: Convert to fraction form
    30,142.60/45,224.82 = 18,320.56/x
  3. Step 3: Cross multiply
    30,142.60x = 45,224.82 × 18,320.56
  4. Step 4: Simplify right side
    30,142.60x = 828,544,028.30
  5. Step 5: Solve for x
    x = 828,544,028.30/30,142.60
  6. Step 6: Final answer
    x = 27,487.48

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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.