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Finding the Fourth Proportional to 36,413.85, 54,619.41 and 15,066

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Solution

The fourth proportional to 36,413.85, 54,619.41 and 15,066 is: 22,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413.85 : 54,619.41 = 15,066 : x
  2. Step 2: Convert to fraction form
    36,413.85/54,619.41 = 15,066/x
  3. Step 3: Cross multiply
    36,413.85x = 54,619.41 × 15,066
  4. Step 4: Simplify right side
    36,413.85x = 822,896,031.06
  5. Step 5: Solve for x
    x = 822,896,031.06/36,413.85
  6. Step 6: Final answer
    x = 22,598.44

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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.