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Finding the Fourth Proportional to 57,274.71, 85,891.47 and 19,824.60

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Solution

The fourth proportional to 57,274.71, 85,891.47 and 19,824.60 is: 29,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274.71 : 85,891.47 = 19,824.60 : x
  2. Step 2: Convert to fraction form
    57,274.71/85,891.47 = 19,824.60/x
  3. Step 3: Cross multiply
    57,274.71x = 85,891.47 × 19,824.60
  4. Step 4: Simplify right side
    57,274.71x = 1,702,764,036.16
  5. Step 5: Solve for x
    x = 1,702,764,036.16/57,274.71
  6. Step 6: Final answer
    x = 29,729.77

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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.