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Finding the Fourth Proportional to 30,135.90, 45,195.21 and 10,413.66

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Solution

The fourth proportional to 30,135.90, 45,195.21 and 10,413.66 is: 15,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.90 : 45,195.21 = 10,413.66 : x
  2. Step 2: Convert to fraction form
    30,135.90/45,195.21 = 10,413.66/x
  3. Step 3: Cross multiply
    30,135.90x = 45,195.21 × 10,413.66
  4. Step 4: Simplify right side
    30,135.90x = 470,647,550.57
  5. Step 5: Solve for x
    x = 470,647,550.57/30,135.90
  6. Step 6: Final answer
    x = 15,617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.