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Finding the Fourth Proportional to 30,205.12, 45,241.44 and 21,413.38

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Solution

The fourth proportional to 30,205.12, 45,241.44 and 21,413.38 is: 32,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.12 : 45,241.44 = 21,413.38 : x
  2. Step 2: Convert to fraction form
    30,205.12/45,241.44 = 21,413.38/x
  3. Step 3: Cross multiply
    30,205.12x = 45,241.44 × 21,413.38
  4. Step 4: Simplify right side
    30,205.12x = 968,772,146.47
  5. Step 5: Solve for x
    x = 968,772,146.47/30,205.12
  6. Step 6: Final answer
    x = 32,073.11

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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.