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Finding the Fourth Proportional to 74,786.50, 103,212.66 and 41,252.50

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Solution

The fourth proportional to 74,786.50, 103,212.66 and 41,252.50 is: 56,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,786.50 : 103,212.66 = 41,252.50 : x
  2. Step 2: Convert to fraction form
    74,786.50/103,212.66 = 41,252.50/x
  3. Step 3: Cross multiply
    74,786.50x = 103,212.66 × 41,252.50
  4. Step 4: Simplify right side
    74,786.50x = 4,257,780,256.65
  5. Step 5: Solve for x
    x = 4,257,780,256.65/74,786.50
  6. Step 6: Final answer
    x = 56,932.47

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Why These Related Problems?

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