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Finding the Fourth Proportional to 38,512.80, 57,774.60 and 12,214.80

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Solution

The fourth proportional to 38,512.80, 57,774.60 and 12,214.80 is: 18,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.80 : 57,774.60 = 12,214.80 : x
  2. Step 2: Convert to fraction form
    38,512.80/57,774.60 = 12,214.80/x
  3. Step 3: Cross multiply
    38,512.80x = 57,774.60 × 12,214.80
  4. Step 4: Simplify right side
    38,512.80x = 705,705,184.08
  5. Step 5: Solve for x
    x = 705,705,184.08/38,512.80
  6. Step 6: Final answer
    x = 18,323.91

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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.