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Finding the Fourth Proportional to 74,445.75, 111,603 and 27,665.82

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Solution

The fourth proportional to 74,445.75, 111,603 and 27,665.82 is: 41,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,445.75 : 111,603 = 27,665.82 : x
  2. Step 2: Convert to fraction form
    74,445.75/111,603 = 27,665.82/x
  3. Step 3: Cross multiply
    74,445.75x = 111,603 × 27,665.82
  4. Step 4: Simplify right side
    74,445.75x = 3,087,588,509.46
  5. Step 5: Solve for x
    x = 3,087,588,509.46/74,445.75
  6. Step 6: Final answer
    x = 41,474.34

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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.