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Finding the Fourth Proportional to 76,100.42, 105,118.92 and 58,413.98

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Solution

The fourth proportional to 76,100.42, 105,118.92 and 58,413.98 is: 80,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,100.42 : 105,118.92 = 58,413.98 : x
  2. Step 2: Convert to fraction form
    76,100.42/105,118.92 = 58,413.98/x
  3. Step 3: Cross multiply
    76,100.42x = 105,118.92 × 58,413.98
  4. Step 4: Simplify right side
    76,100.42x = 6,140,414,490.50
  5. Step 5: Solve for x
    x = 6,140,414,490.50/76,100.42
  6. Step 6: Final answer
    x = 80,688.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.