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Finding the Fourth Proportional to 38,414.50, 53,012.02 and 20,750.50

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Solution

The fourth proportional to 38,414.50, 53,012.02 and 20,750.50 is: 28,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.50 : 53,012.02 = 20,750.50 : x
  2. Step 2: Convert to fraction form
    38,414.50/53,012.02 = 20,750.50/x
  3. Step 3: Cross multiply
    38,414.50x = 53,012.02 × 20,750.50
  4. Step 4: Simplify right side
    38,414.50x = 1,100,025,921.01
  5. Step 5: Solve for x
    x = 1,100,025,921.01/38,414.50
  6. Step 6: Final answer
    x = 28,635.70

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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.