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Finding the Fourth Proportional to 39,306.40, 54,311.88 and 31,413.76

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Solution

The fourth proportional to 39,306.40, 54,311.88 and 31,413.76 is: 43,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306.40 : 54,311.88 = 31,413.76 : x
  2. Step 2: Convert to fraction form
    39,306.40/54,311.88 = 31,413.76/x
  3. Step 3: Cross multiply
    39,306.40x = 54,311.88 × 31,413.76
  4. Step 4: Simplify right side
    39,306.40x = 1,706,140,363.47
  5. Step 5: Solve for x
    x = 1,706,140,363.47/39,306.40
  6. Step 6: Final answer
    x = 43,406.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.