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Finding the Fourth Proportional to 54,136.38, 74,702.08 and 30,262.26

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Solution

The fourth proportional to 54,136.38, 74,702.08 and 30,262.26 is: 41,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,136.38 : 74,702.08 = 30,262.26 : x
  2. Step 2: Convert to fraction form
    54,136.38/74,702.08 = 30,262.26/x
  3. Step 3: Cross multiply
    54,136.38x = 74,702.08 × 30,262.26
  4. Step 4: Simplify right side
    54,136.38x = 2,260,653,767.50
  5. Step 5: Solve for x
    x = 2,260,653,767.50/54,136.38
  6. Step 6: Final answer
    x = 41,758.50

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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.