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Finding the Fourth Proportional to 42,413.40, 63,620.25 and 14,333.68

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Solution

The fourth proportional to 42,413.40, 63,620.25 and 14,333.68 is: 21,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,413.40 : 63,620.25 = 14,333.68 : x
  2. Step 2: Convert to fraction form
    42,413.40/63,620.25 = 14,333.68/x
  3. Step 3: Cross multiply
    42,413.40x = 63,620.25 × 14,333.68
  4. Step 4: Simplify right side
    42,413.40x = 911,912,305.02
  5. Step 5: Solve for x
    x = 911,912,305.02/42,413.40
  6. Step 6: Final answer
    x = 21,500.57

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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.