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Finding the Fourth Proportional to 74,451.87, 102,744 and 40,460.64

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Solution

The fourth proportional to 74,451.87, 102,744 and 40,460.64 is: 55,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,451.87 : 102,744 = 40,460.64 : x
  2. Step 2: Convert to fraction form
    74,451.87/102,744 = 40,460.64/x
  3. Step 3: Cross multiply
    74,451.87x = 102,744 × 40,460.64
  4. Step 4: Simplify right side
    74,451.87x = 4,157,087,996.16
  5. Step 5: Solve for x
    x = 4,157,087,996.16/74,451.87
  6. Step 6: Final answer
    x = 55,835.91

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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.