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Finding the Fourth Proportional to 38,115, 57,207.60 and 19,408.41

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Solution

The fourth proportional to 38,115, 57,207.60 and 19,408.41 is: 29,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 57,207.60 = 19,408.41 : x
  2. Step 2: Convert to fraction form
    38,115/57,207.60 = 19,408.41/x
  3. Step 3: Cross multiply
    38,115x = 57,207.60 × 19,408.41
  4. Step 4: Simplify right side
    38,115x = 1,110,308,555.92
  5. Step 5: Solve for x
    x = 1,110,308,555.92/38,115
  6. Step 6: Final answer
    x = 29,130.49

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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.