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Finding the Fourth Proportional to 109,295.58, 163,910.97 and 46,951.50

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Solution

The fourth proportional to 109,295.58, 163,910.97 and 46,951.50 is: 70,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,295.58 : 163,910.97 = 46,951.50 : x
  2. Step 2: Convert to fraction form
    109,295.58/163,910.97 = 46,951.50/x
  3. Step 3: Cross multiply
    109,295.58x = 163,910.97 × 46,951.50
  4. Step 4: Simplify right side
    109,295.58x = 7,695,865,907.96
  5. Step 5: Solve for x
    x = 7,695,865,907.96/109,295.58
  6. Step 6: Final answer
    x = 70,413.33

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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.