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Finding the Fourth Proportional to 74,577.75, 102,917.31 and 40,586.37

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Solution

The fourth proportional to 74,577.75, 102,917.31 and 40,586.37 is: 56,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577.75 : 102,917.31 = 40,586.37 : x
  2. Step 2: Convert to fraction form
    74,577.75/102,917.31 = 40,586.37/x
  3. Step 3: Cross multiply
    74,577.75x = 102,917.31 × 40,586.37
  4. Step 4: Simplify right side
    74,577.75x = 4,177,040,023.06
  5. Step 5: Solve for x
    x = 4,177,040,023.06/74,577.75
  6. Step 6: Final answer
    x = 56,009.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.