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Finding the Fourth Proportional to 74,648, 111,983.52 and 27,907.52

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Solution

The fourth proportional to 74,648, 111,983.52 and 27,907.52 is: 41,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,648 : 111,983.52 = 27,907.52 : x
  2. Step 2: Convert to fraction form
    74,648/111,983.52 = 27,907.52/x
  3. Step 3: Cross multiply
    74,648x = 111,983.52 × 27,907.52
  4. Step 4: Simplify right side
    74,648x = 3,125,182,324.07
  5. Step 5: Solve for x
    x = 3,125,182,324.07/74,648
  6. Step 6: Final answer
    x = 41,865.59

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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.