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Finding the Fourth Proportional to 76,099.92, 105,118.23 and 58,413.48

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Solution

The fourth proportional to 76,099.92, 105,118.23 and 58,413.48 is: 80,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,099.92 : 105,118.23 = 58,413.48 : x
  2. Step 2: Convert to fraction form
    76,099.92/105,118.23 = 58,413.48/x
  3. Step 3: Cross multiply
    76,099.92x = 105,118.23 × 58,413.48
  4. Step 4: Simplify right side
    76,099.92x = 6,140,321,625.74
  5. Step 5: Solve for x
    x = 6,140,321,625.74/76,099.92
  6. Step 6: Final answer
    x = 80,687.62

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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.