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Finding the Fourth Proportional to 54,902.30, 82,484.67 and 35,219.30

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Solution

The fourth proportional to 54,902.30, 82,484.67 and 35,219.30 is: 52,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.30 : 82,484.67 = 35,219.30 : x
  2. Step 2: Convert to fraction form
    54,902.30/82,484.67 = 35,219.30/x
  3. Step 3: Cross multiply
    54,902.30x = 82,484.67 × 35,219.30
  4. Step 4: Simplify right side
    54,902.30x = 2,905,052,338.13
  5. Step 5: Solve for x
    x = 2,905,052,338.13/54,902.30
  6. Step 6: Final answer
    x = 52,913.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.