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Finding the Fourth Proportional to 31,600.60, 47,400.88 and 9,413.40

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Solution

The fourth proportional to 31,600.60, 47,400.88 and 9,413.40 is: 14,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.60 : 47,400.88 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    31,600.60/47,400.88 = 9,413.40/x
  3. Step 3: Cross multiply
    31,600.60x = 47,400.88 × 9,413.40
  4. Step 4: Simplify right side
    31,600.60x = 446,203,349.03
  5. Step 5: Solve for x
    x = 446,203,349.03/31,600.60
  6. Step 6: Final answer
    x = 14,120.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.