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Finding the Fourth Proportional to 38,197.71, 52,710.39 and 21,201.98

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Solution

The fourth proportional to 38,197.71, 52,710.39 and 21,201.98 is: 29,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.71 : 52,710.39 = 21,201.98 : x
  2. Step 2: Convert to fraction form
    38,197.71/52,710.39 = 21,201.98/x
  3. Step 3: Cross multiply
    38,197.71x = 52,710.39 × 21,201.98
  4. Step 4: Simplify right side
    38,197.71x = 1,117,564,371.02
  5. Step 5: Solve for x
    x = 1,117,564,371.02/38,197.71
  6. Step 6: Final answer
    x = 29,257.37

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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.