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Finding the Fourth Proportional to 71,009.93, 106,413.41 and 52,141.92

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Solution

The fourth proportional to 71,009.93, 106,413.41 and 52,141.92 is: 78,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.93 : 106,413.41 = 52,141.92 : x
  2. Step 2: Convert to fraction form
    71,009.93/106,413.41 = 52,141.92/x
  3. Step 3: Cross multiply
    71,009.93x = 106,413.41 × 52,141.92
  4. Step 4: Simplify right side
    71,009.93x = 5,548,599,250.44
  5. Step 5: Solve for x
    x = 5,548,599,250.44/71,009.93
  6. Step 6: Final answer
    x = 78,138.36

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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.