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Finding the Fourth Proportional to 74,494.96, 102,788.32 and 41,790.48

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Solution

The fourth proportional to 74,494.96, 102,788.32 and 41,790.48 is: 57,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,494.96 : 102,788.32 = 41,790.48 : x
  2. Step 2: Convert to fraction form
    74,494.96/102,788.32 = 41,790.48/x
  3. Step 3: Cross multiply
    74,494.96x = 102,788.32 × 41,790.48
  4. Step 4: Simplify right side
    74,494.96x = 4,295,573,231.19
  5. Step 5: Solve for x
    x = 4,295,573,231.19/74,494.96
  6. Step 6: Final answer
    x = 57,662.60

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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.