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Finding the Fourth Proportional to 38,200.40, 57,300.28 and 14,843.28

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Solution

The fourth proportional to 38,200.40, 57,300.28 and 14,843.28 is: 22,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.40 : 57,300.28 = 14,843.28 : x
  2. Step 2: Convert to fraction form
    38,200.40/57,300.28 = 14,843.28/x
  3. Step 3: Cross multiply
    38,200.40x = 57,300.28 × 14,843.28
  4. Step 4: Simplify right side
    38,200.40x = 850,524,100.12
  5. Step 5: Solve for x
    x = 850,524,100.12/38,200.40
  6. Step 6: Final answer
    x = 22,264.80

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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.