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Finding the Fourth Proportional to 40,896, 56,413.38 and 25,762.68

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Solution

The fourth proportional to 40,896, 56,413.38 and 25,762.68 is: 35,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 56,413.38 = 25,762.68 : x
  2. Step 2: Convert to fraction form
    40,896/56,413.38 = 25,762.68/x
  3. Step 3: Cross multiply
    40,896x = 56,413.38 × 25,762.68
  4. Step 4: Simplify right side
    40,896x = 1,453,359,856.66
  5. Step 5: Solve for x
    x = 1,453,359,856.66/40,896
  6. Step 6: Final answer
    x = 35,537.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.