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Finding the Fourth Proportional to 74,820, 103,251.60 and 41,286

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Solution

The fourth proportional to 74,820, 103,251.60 and 41,286 is: 56,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,820 : 103,251.60 = 41,286 : x
  2. Step 2: Convert to fraction form
    74,820/103,251.60 = 41,286/x
  3. Step 3: Cross multiply
    74,820x = 103,251.60 × 41,286
  4. Step 4: Simplify right side
    74,820x = 4,262,845,557.60
  5. Step 5: Solve for x
    x = 4,262,845,557.60/74,820
  6. Step 6: Final answer
    x = 56,974.68

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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.