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Finding the Fourth Proportional to 32,935.89, 49,413.09 and 13,228.29

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Solution

The fourth proportional to 32,935.89, 49,413.09 and 13,228.29 is: 19,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935.89 : 49,413.09 = 13,228.29 : x
  2. Step 2: Convert to fraction form
    32,935.89/49,413.09 = 13,228.29/x
  3. Step 3: Cross multiply
    32,935.89x = 49,413.09 × 13,228.29
  4. Step 4: Simplify right side
    32,935.89x = 653,650,684.32
  5. Step 5: Solve for x
    x = 653,650,684.32/32,935.89
  6. Step 6: Final answer
    x = 19,846.15

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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.