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Finding the Fourth Proportional to 27,059.06, 40,583.03 and 10,413.36

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Solution

The fourth proportional to 27,059.06, 40,583.03 and 10,413.36 is: 15,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059.06 : 40,583.03 = 10,413.36 : x
  2. Step 2: Convert to fraction form
    27,059.06/40,583.03 = 10,413.36/x
  3. Step 3: Cross multiply
    27,059.06x = 40,583.03 × 10,413.36
  4. Step 4: Simplify right side
    27,059.06x = 422,605,649.21
  5. Step 5: Solve for x
    x = 422,605,649.21/27,059.06
  6. Step 6: Final answer
    x = 15,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.