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Finding the Fourth Proportional to 32,191, 44,413.80 and 20,266.24

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Solution

The fourth proportional to 32,191, 44,413.80 and 20,266.24 is: 27,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191 : 44,413.80 = 20,266.24 : x
  2. Step 2: Convert to fraction form
    32,191/44,413.80 = 20,266.24/x
  3. Step 3: Cross multiply
    32,191x = 44,413.80 × 20,266.24
  4. Step 4: Simplify right side
    32,191x = 900,100,730.11
  5. Step 5: Solve for x
    x = 900,100,730.11/32,191
  6. Step 6: Final answer
    x = 27,961.25

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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.