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Finding the Fourth Proportional to 74,204, 102,408 and 40,676.48

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Solution

The fourth proportional to 74,204, 102,408 and 40,676.48 is: 56,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204 : 102,408 = 40,676.48 : x
  2. Step 2: Convert to fraction form
    74,204/102,408 = 40,676.48/x
  3. Step 3: Cross multiply
    74,204x = 102,408 × 40,676.48
  4. Step 4: Simplify right side
    74,204x = 4,165,596,963.84
  5. Step 5: Solve for x
    x = 4,165,596,963.84/74,204
  6. Step 6: Final answer
    x = 56,137.09

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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.