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Finding the Fourth Proportional to 31,609.16, 47,413.72 and 9,421.97

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Solution

The fourth proportional to 31,609.16, 47,413.72 and 9,421.97 is: 14,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.16 : 47,413.72 = 9,421.97 : x
  2. Step 2: Convert to fraction form
    31,609.16/47,413.72 = 9,421.97/x
  3. Step 3: Cross multiply
    31,609.16x = 47,413.72 × 9,421.97
  4. Step 4: Simplify right side
    31,609.16x = 446,730,647.43
  5. Step 5: Solve for x
    x = 446,730,647.43/31,609.16
  6. Step 6: Final answer
    x = 14,132.95

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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.