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Finding the Fourth Proportional to 74,212.36, 102,412.80 and 40,221.68

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Solution

The fourth proportional to 74,212.36, 102,412.80 and 40,221.68 is: 55,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,212.36 : 102,412.80 = 40,221.68 : x
  2. Step 2: Convert to fraction form
    74,212.36/102,412.80 = 40,221.68/x
  3. Step 3: Cross multiply
    74,212.36x = 102,412.80 × 40,221.68
  4. Step 4: Simplify right side
    74,212.36x = 4,119,214,357.44
  5. Step 5: Solve for x
    x = 4,119,214,357.44/74,212.36
  6. Step 6: Final answer
    x = 55,505.77

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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.