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Finding the Fourth Proportional to 75,413.90, 104,072.04 and 41,423.19

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Solution

The fourth proportional to 75,413.90, 104,072.04 and 41,423.19 is: 57,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.90 : 104,072.04 = 41,423.19 : x
  2. Step 2: Convert to fraction form
    75,413.90/104,072.04 = 41,423.19/x
  3. Step 3: Cross multiply
    75,413.90x = 104,072.04 × 41,423.19
  4. Step 4: Simplify right side
    75,413.90x = 4,310,995,496.34
  5. Step 5: Solve for x
    x = 4,310,995,496.34/75,413.90
  6. Step 6: Final answer
    x = 57,164.47

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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.