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Finding the Fourth Proportional to 37,103, 55,657.74 and 9,401

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Solution

The fourth proportional to 37,103, 55,657.74 and 9,401 is: 14,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103 : 55,657.74 = 9,401 : x
  2. Step 2: Convert to fraction form
    37,103/55,657.74 = 9,401/x
  3. Step 3: Cross multiply
    37,103x = 55,657.74 × 9,401
  4. Step 4: Simplify right side
    37,103x = 523,238,413.74
  5. Step 5: Solve for x
    x = 523,238,413.74/37,103
  6. Step 6: Final answer
    x = 14,102.32

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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.