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Finding the Fourth Proportional to 47,635, 65,738.13 and 26,413.81

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Solution

The fourth proportional to 47,635, 65,738.13 and 26,413.81 is: 36,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,635 : 65,738.13 = 26,413.81 : x
  2. Step 2: Convert to fraction form
    47,635/65,738.13 = 26,413.81/x
  3. Step 3: Cross multiply
    47,635x = 65,738.13 × 26,413.81
  4. Step 4: Simplify right side
    47,635x = 1,736,394,475.58
  5. Step 5: Solve for x
    x = 1,736,394,475.58/47,635
  6. Step 6: Final answer
    x = 36,452.07

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1.5x scale

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.