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Finding the Fourth Proportional to 31,603.50, 47,405.25 and 12,879.41

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Solution

The fourth proportional to 31,603.50, 47,405.25 and 12,879.41 is: 19,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.50 : 47,405.25 = 12,879.41 : x
  2. Step 2: Convert to fraction form
    31,603.50/47,405.25 = 12,879.41/x
  3. Step 3: Cross multiply
    31,603.50x = 47,405.25 × 12,879.41
  4. Step 4: Simplify right side
    31,603.50x = 610,551,413.88
  5. Step 5: Solve for x
    x = 610,551,413.88/31,603.50
  6. Step 6: Final answer
    x = 19,319.11

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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.