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Finding the Fourth Proportional to 51,413.58, 70,974.63 and 32,576.22

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Solution

The fourth proportional to 51,413.58, 70,974.63 and 32,576.22 is: 44,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413.58 : 70,974.63 = 32,576.22 : x
  2. Step 2: Convert to fraction form
    51,413.58/70,974.63 = 32,576.22/x
  3. Step 3: Cross multiply
    51,413.58x = 70,974.63 × 32,576.22
  4. Step 4: Simplify right side
    51,413.58x = 2,312,085,161.30
  5. Step 5: Solve for x
    x = 2,312,085,161.30/51,413.58
  6. Step 6: Final answer
    x = 44,970.32

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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.