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Finding the Fourth Proportional to 74,593, 102,938.34 and 41,059

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Solution

The fourth proportional to 74,593, 102,938.34 and 41,059 is: 56,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,593 : 102,938.34 = 41,059 : x
  2. Step 2: Convert to fraction form
    74,593/102,938.34 = 41,059/x
  3. Step 3: Cross multiply
    74,593x = 102,938.34 × 41,059
  4. Step 4: Simplify right side
    74,593x = 4,226,545,302.06
  5. Step 5: Solve for x
    x = 4,226,545,302.06/74,593
  6. Step 6: Final answer
    x = 56,661.42

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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.