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Finding the Fourth Proportional to 30,413.84, 45,635.20 and 21,068.24

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Solution

The fourth proportional to 30,413.84, 45,635.20 and 21,068.24 is: 31,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.84 : 45,635.20 = 21,068.24 : x
  2. Step 2: Convert to fraction form
    30,413.84/45,635.20 = 21,068.24/x
  3. Step 3: Cross multiply
    30,413.84x = 45,635.20 × 21,068.24
  4. Step 4: Simplify right side
    30,413.84x = 961,453,346.05
  5. Step 5: Solve for x
    x = 961,453,346.05/30,413.84
  6. Step 6: Final answer
    x = 31,612.36

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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.