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Finding the Fourth Proportional to 30,766.42, 46,169.06 and 17,644.42

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Solution

The fourth proportional to 30,766.42, 46,169.06 and 17,644.42 is: 26,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.42 : 46,169.06 = 17,644.42 : x
  2. Step 2: Convert to fraction form
    30,766.42/46,169.06 = 17,644.42/x
  3. Step 3: Cross multiply
    30,766.42x = 46,169.06 × 17,644.42
  4. Step 4: Simplify right side
    30,766.42x = 814,626,214.33
  5. Step 5: Solve for x
    x = 814,626,214.33/30,766.42
  6. Step 6: Final answer
    x = 26,477.77

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1.5x scale

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.