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Finding the Fourth Proportional to 38,408.28, 53,002.55 and 21,414.17

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Solution

The fourth proportional to 38,408.28, 53,002.55 and 21,414.17 is: 29,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.28 : 53,002.55 = 21,414.17 : x
  2. Step 2: Convert to fraction form
    38,408.28/53,002.55 = 21,414.17/x
  3. Step 3: Cross multiply
    38,408.28x = 53,002.55 × 21,414.17
  4. Step 4: Simplify right side
    38,408.28x = 1,135,005,802.18
  5. Step 5: Solve for x
    x = 1,135,005,802.18/38,408.28
  6. Step 6: Final answer
    x = 29,551.07

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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.