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Finding the Fourth Proportional to 86,065.80, 129,049.03 and 33,413.77

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Solution

The fourth proportional to 86,065.80, 129,049.03 and 33,413.77 is: 50,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.80 : 129,049.03 = 33,413.77 : x
  2. Step 2: Convert to fraction form
    86,065.80/129,049.03 = 33,413.77/x
  3. Step 3: Cross multiply
    86,065.80x = 129,049.03 × 33,413.77
  4. Step 4: Simplify right side
    86,065.80x = 4,312,014,810.22
  5. Step 5: Solve for x
    x = 4,312,014,810.22/86,065.80
  6. Step 6: Final answer
    x = 50,101.38

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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.