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Finding the Fourth Proportional to 38,201.91, 52,717.28 and 21,206.90

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Solution

The fourth proportional to 38,201.91, 52,717.28 and 21,206.90 is: 29,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.91 : 52,717.28 = 21,206.90 : x
  2. Step 2: Convert to fraction form
    38,201.91/52,717.28 = 21,206.90/x
  3. Step 3: Cross multiply
    38,201.91x = 52,717.28 × 21,206.90
  4. Step 4: Simplify right side
    38,201.91x = 1,117,969,715.61
  5. Step 5: Solve for x
    x = 1,117,969,715.61/38,201.91
  6. Step 6: Final answer
    x = 29,264.76

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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.