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Finding the Fourth Proportional to 74,057, 102,198.66 and 40,523

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Solution

The fourth proportional to 74,057, 102,198.66 and 40,523 is: 55,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057 : 102,198.66 = 40,523 : x
  2. Step 2: Convert to fraction form
    74,057/102,198.66 = 40,523/x
  3. Step 3: Cross multiply
    74,057x = 102,198.66 × 40,523
  4. Step 4: Simplify right side
    74,057x = 4,141,396,299.18
  5. Step 5: Solve for x
    x = 4,141,396,299.18/74,057
  6. Step 6: Final answer
    x = 55,921.74

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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.