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Finding the Fourth Proportional to 30,413.80, 45,467.09 and 30,106.60

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Solution

The fourth proportional to 30,413.80, 45,467.09 and 30,106.60 is: 45,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.80 : 45,467.09 = 30,106.60 : x
  2. Step 2: Convert to fraction form
    30,413.80/45,467.09 = 30,106.60/x
  3. Step 3: Cross multiply
    30,413.80x = 45,467.09 × 30,106.60
  4. Step 4: Simplify right side
    30,413.80x = 1,368,859,491.79
  5. Step 5: Solve for x
    x = 1,368,859,491.79/30,413.80
  6. Step 6: Final answer
    x = 45,007.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.