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Finding the Fourth Proportional to 42,413.82, 63,544.41 and 23,671.50

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Solution

The fourth proportional to 42,413.82, 63,544.41 and 23,671.50 is: 35,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,413.82 : 63,544.41 = 23,671.50 : x
  2. Step 2: Convert to fraction form
    42,413.82/63,544.41 = 23,671.50/x
  3. Step 3: Cross multiply
    42,413.82x = 63,544.41 × 23,671.50
  4. Step 4: Simplify right side
    42,413.82x = 1,504,191,501.32
  5. Step 5: Solve for x
    x = 1,504,191,501.32/42,413.82
  6. Step 6: Final answer
    x = 35,464.66

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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.