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Finding the Fourth Proportional to 55,413.40, 76,469.46 and 31,214.44

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Solution

The fourth proportional to 55,413.40, 76,469.46 and 31,214.44 is: 43,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413.40 : 76,469.46 = 31,214.44 : x
  2. Step 2: Convert to fraction form
    55,413.40/76,469.46 = 31,214.44/x
  3. Step 3: Cross multiply
    55,413.40x = 76,469.46 × 31,214.44
  4. Step 4: Simplify right side
    55,413.40x = 2,386,951,371.00
  5. Step 5: Solve for x
    x = 2,386,951,371.00/55,413.40
  6. Step 6: Final answer
    x = 43,075.35

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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.