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Finding the Fourth Proportional to 100,418.16, 150,631.16 and 30,297.48

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Solution

The fourth proportional to 100,418.16, 150,631.16 and 30,297.48 is: 45,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.16 : 150,631.16 = 30,297.48 : x
  2. Step 2: Convert to fraction form
    100,418.16/150,631.16 = 30,297.48/x
  3. Step 3: Cross multiply
    100,418.16x = 150,631.16 × 30,297.48
  4. Step 4: Simplify right side
    100,418.16x = 4,563,744,557.48
  5. Step 5: Solve for x
    x = 4,563,744,557.48/100,418.16
  6. Step 6: Final answer
    x = 45,447.40

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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.