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Finding the Fourth Proportional to 67,201.98, 100,584.27 and 40,783.02

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Solution

The fourth proportional to 67,201.98, 100,584.27 and 40,783.02 is: 61,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,201.98 : 100,584.27 = 40,783.02 : x
  2. Step 2: Convert to fraction form
    67,201.98/100,584.27 = 40,783.02/x
  3. Step 3: Cross multiply
    67,201.98x = 100,584.27 × 40,783.02
  4. Step 4: Simplify right side
    67,201.98x = 4,102,130,295.10
  5. Step 5: Solve for x
    x = 4,102,130,295.10/67,201.98
  6. Step 6: Final answer
    x = 61,041.81

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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.