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Finding the Fourth Proportional to 33,548, 46,284.44 and 20,123.60

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Solution

The fourth proportional to 33,548, 46,284.44 and 20,123.60 is: 27,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548 : 46,284.44 = 20,123.60 : x
  2. Step 2: Convert to fraction form
    33,548/46,284.44 = 20,123.60/x
  3. Step 3: Cross multiply
    33,548x = 46,284.44 × 20,123.60
  4. Step 4: Simplify right side
    33,548x = 931,409,556.78
  5. Step 5: Solve for x
    x = 931,409,556.78/33,548
  6. Step 6: Final answer
    x = 27,763.49

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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.