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Finding the Fourth Proportional to 38,197.64, 52,711.76 and 21,201.01

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Solution

The fourth proportional to 38,197.64, 52,711.76 and 21,201.01 is: 29,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.64 : 52,711.76 = 21,201.01 : x
  2. Step 2: Convert to fraction form
    38,197.64/52,711.76 = 21,201.01/x
  3. Step 3: Cross multiply
    38,197.64x = 52,711.76 × 21,201.01
  4. Step 4: Simplify right side
    38,197.64x = 1,117,542,181.31
  5. Step 5: Solve for x
    x = 1,117,542,181.31/38,197.64
  6. Step 6: Final answer
    x = 29,256.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.