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Finding the Fourth Proportional to 38,402, 57,625.68 and 16,213.94

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Solution

The fourth proportional to 38,402, 57,625.68 and 16,213.94 is: 24,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 57,625.68 = 16,213.94 : x
  2. Step 2: Convert to fraction form
    38,402/57,625.68 = 16,213.94/x
  3. Step 3: Cross multiply
    38,402x = 57,625.68 × 16,213.94
  4. Step 4: Simplify right side
    38,402x = 934,339,317.98
  5. Step 5: Solve for x
    x = 934,339,317.98/38,402
  6. Step 6: Final answer
    x = 24,330.49

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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.