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Finding the Fourth Proportional to 66,844.76, 100,267.13 and 16,243.50

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Solution

The fourth proportional to 66,844.76, 100,267.13 and 16,243.50 is: 24,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,844.76 : 100,267.13 = 16,243.50 : x
  2. Step 2: Convert to fraction form
    66,844.76/100,267.13 = 16,243.50/x
  3. Step 3: Cross multiply
    66,844.76x = 100,267.13 × 16,243.50
  4. Step 4: Simplify right side
    66,844.76x = 1,628,689,542.77
  5. Step 5: Solve for x
    x = 1,628,689,542.77/66,844.76
  6. Step 6: Final answer
    x = 24,365.26

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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.