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Finding the Fourth Proportional to 33,790.92, 46,630.74 and 18,683

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Solution

The fourth proportional to 33,790.92, 46,630.74 and 18,683 is: 25,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,790.92 : 46,630.74 = 18,683 : x
  2. Step 2: Convert to fraction form
    33,790.92/46,630.74 = 18,683/x
  3. Step 3: Cross multiply
    33,790.92x = 46,630.74 × 18,683
  4. Step 4: Simplify right side
    33,790.92x = 871,202,115.42
  5. Step 5: Solve for x
    x = 871,202,115.42/33,790.92
  6. Step 6: Final answer
    x = 25,782.14

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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.