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Finding the Fourth Proportional to 74,900.72, 103,362.32 and 41,366

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Solution

The fourth proportional to 74,900.72, 103,362.32 and 41,366 is: 57,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,900.72 : 103,362.32 = 41,366 : x
  2. Step 2: Convert to fraction form
    74,900.72/103,362.32 = 41,366/x
  3. Step 3: Cross multiply
    74,900.72x = 103,362.32 × 41,366
  4. Step 4: Simplify right side
    74,900.72x = 4,275,685,729.12
  5. Step 5: Solve for x
    x = 4,275,685,729.12/74,900.72
  6. Step 6: Final answer
    x = 57,084.71

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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.