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Finding the Fourth Proportional to 30,501.20, 45,828.60 and 19,413.20

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Solution

The fourth proportional to 30,501.20, 45,828.60 and 19,413.20 is: 29,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.20 : 45,828.60 = 19,413.20 : x
  2. Step 2: Convert to fraction form
    30,501.20/45,828.60 = 19,413.20/x
  3. Step 3: Cross multiply
    30,501.20x = 45,828.60 × 19,413.20
  4. Step 4: Simplify right side
    30,501.20x = 889,679,777.52
  5. Step 5: Solve for x
    x = 889,679,777.52/30,501.20
  6. Step 6: Final answer
    x = 29,168.68

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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.