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Finding the Fourth Proportional to 46,356.72, 69,534.36 and 18,654

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Solution

The fourth proportional to 46,356.72, 69,534.36 and 18,654 is: 27,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,356.72 : 69,534.36 = 18,654 : x
  2. Step 2: Convert to fraction form
    46,356.72/69,534.36 = 18,654/x
  3. Step 3: Cross multiply
    46,356.72x = 69,534.36 × 18,654
  4. Step 4: Simplify right side
    46,356.72x = 1,297,093,951.44
  5. Step 5: Solve for x
    x = 1,297,093,951.44/46,356.72
  6. Step 6: Final answer
    x = 27,980.71

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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.