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Finding the Fourth Proportional to 33,583.50, 46,345.50 and 18,679.50

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Solution

The fourth proportional to 33,583.50, 46,345.50 and 18,679.50 is: 25,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.50 : 46,345.50 = 18,679.50 : x
  2. Step 2: Convert to fraction form
    33,583.50/46,345.50 = 18,679.50/x
  3. Step 3: Cross multiply
    33,583.50x = 46,345.50 × 18,679.50
  4. Step 4: Simplify right side
    33,583.50x = 865,710,767.25
  5. Step 5: Solve for x
    x = 865,710,767.25/33,583.50
  6. Step 6: Final answer
    x = 25,777.86

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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.