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Finding the Fourth Proportional to 55,681.44, 76,914 and 41,509.68

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Solution

The fourth proportional to 55,681.44, 76,914 and 41,509.68 is: 57,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,681.44 : 76,914 = 41,509.68 : x
  2. Step 2: Convert to fraction form
    55,681.44/76,914 = 41,509.68/x
  3. Step 3: Cross multiply
    55,681.44x = 76,914 × 41,509.68
  4. Step 4: Simplify right side
    55,681.44x = 3,192,675,527.52
  5. Step 5: Solve for x
    x = 3,192,675,527.52/55,681.44
  6. Step 6: Final answer
    x = 57,338.24

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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.