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Finding the Fourth Proportional to 30,602.40, 45,900.90 and 8,413.80

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Solution

The fourth proportional to 30,602.40, 45,900.90 and 8,413.80 is: 12,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.40 : 45,900.90 = 8,413.80 : x
  2. Step 2: Convert to fraction form
    30,602.40/45,900.90 = 8,413.80/x
  3. Step 3: Cross multiply
    30,602.40x = 45,900.90 × 8,413.80
  4. Step 4: Simplify right side
    30,602.40x = 386,200,992.42
  5. Step 5: Solve for x
    x = 386,200,992.42/30,602.40
  6. Step 6: Final answer
    x = 12,619.96

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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.