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Finding the Fourth Proportional to 38,367, 52,946.46 and 22,445.64

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Solution

The fourth proportional to 38,367, 52,946.46 and 22,445.64 is: 30,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367 : 52,946.46 = 22,445.64 : x
  2. Step 2: Convert to fraction form
    38,367/52,946.46 = 22,445.64/x
  3. Step 3: Cross multiply
    38,367x = 52,946.46 × 22,445.64
  4. Step 4: Simplify right side
    38,367x = 1,188,417,180.43
  5. Step 5: Solve for x
    x = 1,188,417,180.43/38,367
  6. Step 6: Final answer
    x = 30,974.98

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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.