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Finding the Fourth Proportional to 30,413.53, 45,586.23 and 19,903.78

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Solution

The fourth proportional to 30,413.53, 45,586.23 and 19,903.78 is: 29,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.53 : 45,586.23 = 19,903.78 : x
  2. Step 2: Convert to fraction form
    30,413.53/45,586.23 = 19,903.78/x
  3. Step 3: Cross multiply
    30,413.53x = 45,586.23 × 19,903.78
  4. Step 4: Simplify right side
    30,413.53x = 907,338,292.95
  5. Step 5: Solve for x
    x = 907,338,292.95/30,413.53
  6. Step 6: Final answer
    x = 29,833.38

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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.