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Finding the Fourth Proportional to 55,659, 76,809.60 and 30,165.78

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Solution

The fourth proportional to 55,659, 76,809.60 and 30,165.78 is: 41,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,659 : 76,809.60 = 30,165.78 : x
  2. Step 2: Convert to fraction form
    55,659/76,809.60 = 30,165.78/x
  3. Step 3: Cross multiply
    55,659x = 76,809.60 × 30,165.78
  4. Step 4: Simplify right side
    55,659x = 2,317,021,495.49
  5. Step 5: Solve for x
    x = 2,317,021,495.49/55,659
  6. Step 6: Final answer
    x = 41,628.87

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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.