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Finding the Fourth Proportional to 31,609.54, 47,413.70 and 9,437.94

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Solution

The fourth proportional to 31,609.54, 47,413.70 and 9,437.94 is: 14,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.54 : 47,413.70 = 9,437.94 : x
  2. Step 2: Convert to fraction form
    31,609.54/47,413.70 = 9,437.94/x
  3. Step 3: Cross multiply
    31,609.54x = 47,413.70 × 9,437.94
  4. Step 4: Simplify right side
    31,609.54x = 447,487,655.78
  5. Step 5: Solve for x
    x = 447,487,655.78/31,609.54
  6. Step 6: Final answer
    x = 14,156.73

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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.