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Finding the Fourth Proportional to 30,413.61, 45,620.40 and 15,614.30

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Solution

The fourth proportional to 30,413.61, 45,620.40 and 15,614.30 is: 23,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.61 : 45,620.40 = 15,614.30 : x
  2. Step 2: Convert to fraction form
    30,413.61/45,620.40 = 15,614.30/x
  3. Step 3: Cross multiply
    30,413.61x = 45,620.40 × 15,614.30
  4. Step 4: Simplify right side
    30,413.61x = 712,330,613.25
  5. Step 5: Solve for x
    x = 712,330,613.25/30,413.61
  6. Step 6: Final answer
    x = 23,421.45

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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.