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Finding the Fourth Proportional to 47,076.50, 70,614.69 and 12,016.16

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Solution

The fourth proportional to 47,076.50, 70,614.69 and 12,016.16 is: 18,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.50 : 70,614.69 = 12,016.16 : x
  2. Step 2: Convert to fraction form
    47,076.50/70,614.69 = 12,016.16/x
  3. Step 3: Cross multiply
    47,076.50x = 70,614.69 × 12,016.16
  4. Step 4: Simplify right side
    47,076.50x = 848,517,413.39
  5. Step 5: Solve for x
    x = 848,517,413.39/47,076.50
  6. Step 6: Final answer
    x = 18,024.22

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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.