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Finding the Fourth Proportional to 49,442.38, 74,163.59 and 12,002.50

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Solution

The fourth proportional to 49,442.38, 74,163.59 and 12,002.50 is: 18,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442.38 : 74,163.59 = 12,002.50 : x
  2. Step 2: Convert to fraction form
    49,442.38/74,163.59 = 12,002.50/x
  3. Step 3: Cross multiply
    49,442.38x = 74,163.59 × 12,002.50
  4. Step 4: Simplify right side
    49,442.38x = 890,148,058.14
  5. Step 5: Solve for x
    x = 890,148,058.14/49,442.38
  6. Step 6: Final answer
    x = 18,003.75

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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.