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Finding the Fourth Proportional to 54,490.70, 75,199.38 and 30,617.30

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Solution

The fourth proportional to 54,490.70, 75,199.38 and 30,617.30 is: 42,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490.70 : 75,199.38 = 30,617.30 : x
  2. Step 2: Convert to fraction form
    54,490.70/75,199.38 = 30,617.30/x
  3. Step 3: Cross multiply
    54,490.70x = 75,199.38 × 30,617.30
  4. Step 4: Simplify right side
    54,490.70x = 2,302,401,977.27
  5. Step 5: Solve for x
    x = 2,302,401,977.27/54,490.70
  6. Step 6: Final answer
    x = 42,253.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.