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Finding the Fourth Proportional to 70,786.40, 106,197.98 and 26,413.49

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Solution

The fourth proportional to 70,786.40, 106,197.98 and 26,413.49 is: 39,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,786.40 : 106,197.98 = 26,413.49 : x
  2. Step 2: Convert to fraction form
    70,786.40/106,197.98 = 26,413.49/x
  3. Step 3: Cross multiply
    70,786.40x = 106,197.98 × 26,413.49
  4. Step 4: Simplify right side
    70,786.40x = 2,805,058,619.69
  5. Step 5: Solve for x
    x = 2,805,058,619.69/70,786.40
  6. Step 6: Final answer
    x = 39,627.08

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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.