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Finding the Fourth Proportional to 42,434.82, 63,651.93 and 10,413.50

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Solution

The fourth proportional to 42,434.82, 63,651.93 and 10,413.50 is: 15,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434.82 : 63,651.93 = 10,413.50 : x
  2. Step 2: Convert to fraction form
    42,434.82/63,651.93 = 10,413.50/x
  3. Step 3: Cross multiply
    42,434.82x = 63,651.93 × 10,413.50
  4. Step 4: Simplify right side
    42,434.82x = 662,839,015.74
  5. Step 5: Solve for x
    x = 662,839,015.74/42,434.82
  6. Step 6: Final answer
    x = 15,620.17

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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.