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Finding the Fourth Proportional to 33,572.19, 46,314.09 and 20,120.09

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Solution

The fourth proportional to 33,572.19, 46,314.09 and 20,120.09 is: 27,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,572.19 : 46,314.09 = 20,120.09 : x
  2. Step 2: Convert to fraction form
    33,572.19/46,314.09 = 20,120.09/x
  3. Step 3: Cross multiply
    33,572.19x = 46,314.09 × 20,120.09
  4. Step 4: Simplify right side
    33,572.19x = 931,843,683.74
  5. Step 5: Solve for x
    x = 931,843,683.74/33,572.19
  6. Step 6: Final answer
    x = 27,756.42

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1.5x scale

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.