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Finding the Fourth Proportional to 30,137.80, 45,209.84 and 10,413.82

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Solution

The fourth proportional to 30,137.80, 45,209.84 and 10,413.82 is: 15,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.80 : 45,209.84 = 10,413.82 : x
  2. Step 2: Convert to fraction form
    30,137.80/45,209.84 = 10,413.82/x
  3. Step 3: Cross multiply
    30,137.80x = 45,209.84 × 10,413.82
  4. Step 4: Simplify right side
    30,137.80x = 470,807,135.99
  5. Step 5: Solve for x
    x = 470,807,135.99/30,137.80
  6. Step 6: Final answer
    x = 15,621.81

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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.