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Finding the Fourth Proportional to 38,096.64, 57,232.80 and 36,522

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Solution

The fourth proportional to 38,096.64, 57,232.80 and 36,522 is: 54,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.64 : 57,232.80 = 36,522 : x
  2. Step 2: Convert to fraction form
    38,096.64/57,232.80 = 36,522/x
  3. Step 3: Cross multiply
    38,096.64x = 57,232.80 × 36,522
  4. Step 4: Simplify right side
    38,096.64x = 2,090,256,321.60
  5. Step 5: Solve for x
    x = 2,090,256,321.60/38,096.64
  6. Step 6: Final answer
    x = 54,867.21

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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.