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Finding the Fourth Proportional to 68,536.33, 102,804.80 and 24,139.01

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Solution

The fourth proportional to 68,536.33, 102,804.80 and 24,139.01 is: 36,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536.33 : 102,804.80 = 24,139.01 : x
  2. Step 2: Convert to fraction form
    68,536.33/102,804.80 = 24,139.01/x
  3. Step 3: Cross multiply
    68,536.33x = 102,804.80 × 24,139.01
  4. Step 4: Simplify right side
    68,536.33x = 2,481,606,231.56
  5. Step 5: Solve for x
    x = 2,481,606,231.56/68,536.33
  6. Step 6: Final answer
    x = 36,208.63

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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.