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Finding the Fourth Proportional to 47,634.88, 65,738.74 and 26,413.68

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Solution

The fourth proportional to 47,634.88, 65,738.74 and 26,413.68 is: 36,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,634.88 : 65,738.74 = 26,413.68 : x
  2. Step 2: Convert to fraction form
    47,634.88/65,738.74 = 26,413.68/x
  3. Step 3: Cross multiply
    47,634.88x = 65,738.74 × 26,413.68
  4. Step 4: Simplify right side
    47,634.88x = 1,736,402,041.96
  5. Step 5: Solve for x
    x = 1,736,402,041.96/47,634.88
  6. Step 6: Final answer
    x = 36,452.32

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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.