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Finding the Fourth Proportional to 31,413.76, 47,095.10 and 17,373.22

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Solution

The fourth proportional to 31,413.76, 47,095.10 and 17,373.22 is: 26,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.76 : 47,095.10 = 17,373.22 : x
  2. Step 2: Convert to fraction form
    31,413.76/47,095.10 = 17,373.22/x
  3. Step 3: Cross multiply
    31,413.76x = 47,095.10 × 17,373.22
  4. Step 4: Simplify right side
    31,413.76x = 818,193,533.22
  5. Step 5: Solve for x
    x = 818,193,533.22/31,413.76
  6. Step 6: Final answer
    x = 26,045.71

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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.