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Finding the Fourth Proportional to 53,648.38, 74,033.35 and 29,774.44

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Solution

The fourth proportional to 53,648.38, 74,033.35 and 29,774.44 is: 41,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648.38 : 74,033.35 = 29,774.44 : x
  2. Step 2: Convert to fraction form
    53,648.38/74,033.35 = 29,774.44/x
  3. Step 3: Cross multiply
    53,648.38x = 74,033.35 × 29,774.44
  4. Step 4: Simplify right side
    53,648.38x = 2,204,301,537.57
  5. Step 5: Solve for x
    x = 2,204,301,537.57/53,648.38
  6. Step 6: Final answer
    x = 41,087.94

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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.