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Finding the Fourth Proportional to 31,601.03, 47,401.54 and 9,413.83

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Solution

The fourth proportional to 31,601.03, 47,401.54 and 9,413.83 is: 14,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.03 : 47,401.54 = 9,413.83 : x
  2. Step 2: Convert to fraction form
    31,601.03/47,401.54 = 9,413.83/x
  3. Step 3: Cross multiply
    31,601.03x = 47,401.54 × 9,413.83
  4. Step 4: Simplify right side
    31,601.03x = 446,230,039.30
  5. Step 5: Solve for x
    x = 446,230,039.30/31,601.03
  6. Step 6: Final answer
    x = 14,120.74

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1.5x scale

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.