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Finding the Fourth Proportional to 74,863, 103,311.14 and 41,329

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Solution

The fourth proportional to 74,863, 103,311.14 and 41,329 is: 57,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,863 : 103,311.14 = 41,329 : x
  2. Step 2: Convert to fraction form
    74,863/103,311.14 = 41,329/x
  3. Step 3: Cross multiply
    74,863x = 103,311.14 × 41,329
  4. Step 4: Simplify right side
    74,863x = 4,269,746,105.06
  5. Step 5: Solve for x
    x = 4,269,746,105.06/74,863
  6. Step 6: Final answer
    x = 57,034.13

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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.