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Finding the Fourth Proportional to 38,402, 52,995.28 and 21,635.04

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Solution

The fourth proportional to 38,402, 52,995.28 and 21,635.04 is: 29,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 52,995.28 = 21,635.04 : x
  2. Step 2: Convert to fraction form
    38,402/52,995.28 = 21,635.04/x
  3. Step 3: Cross multiply
    38,402x = 52,995.28 × 21,635.04
  4. Step 4: Simplify right side
    38,402x = 1,146,555,002.61
  5. Step 5: Solve for x
    x = 1,146,555,002.61/38,402
  6. Step 6: Final answer
    x = 29,856.65

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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.