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Finding the Fourth Proportional to 55,376.09, 76,419 and 30,225.59

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Solution

The fourth proportional to 55,376.09, 76,419 and 30,225.59 is: 41,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,376.09 : 76,419 = 30,225.59 : x
  2. Step 2: Convert to fraction form
    55,376.09/76,419 = 30,225.59/x
  3. Step 3: Cross multiply
    55,376.09x = 76,419 × 30,225.59
  4. Step 4: Simplify right side
    55,376.09x = 2,309,809,266.69
  5. Step 5: Solve for x
    x = 2,309,809,266.69/55,376.09
  6. Step 6: Final answer
    x = 41,711.31

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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.