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Finding the Fourth Proportional to 54,952.70, 82,429.05 and 49,412.30

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Solution

The fourth proportional to 54,952.70, 82,429.05 and 49,412.30 is: 74,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.70 : 82,429.05 = 49,412.30 : x
  2. Step 2: Convert to fraction form
    54,952.70/82,429.05 = 49,412.30/x
  3. Step 3: Cross multiply
    54,952.70x = 82,429.05 × 49,412.30
  4. Step 4: Simplify right side
    54,952.70x = 4,073,008,947.32
  5. Step 5: Solve for x
    x = 4,073,008,947.32/54,952.70
  6. Step 6: Final answer
    x = 74,118.45

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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.