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Finding the Fourth Proportional to 74,056.09, 102,197.23 and 40,522.09

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Solution

The fourth proportional to 74,056.09, 102,197.23 and 40,522.09 is: 55,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056.09 : 102,197.23 = 40,522.09 : x
  2. Step 2: Convert to fraction form
    74,056.09/102,197.23 = 40,522.09/x
  3. Step 3: Cross multiply
    74,056.09x = 102,197.23 × 40,522.09
  4. Step 4: Simplify right side
    74,056.09x = 4,141,245,351.81
  5. Step 5: Solve for x
    x = 4,141,245,351.81/74,056.09
  6. Step 6: Final answer
    x = 55,920.39

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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.