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Finding the Fourth Proportional to 55,825.36, 83,588.94 and 46,968

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Solution

The fourth proportional to 55,825.36, 83,588.94 and 46,968 is: 70,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.36 : 83,588.94 = 46,968 : x
  2. Step 2: Convert to fraction form
    55,825.36/83,588.94 = 46,968/x
  3. Step 3: Cross multiply
    55,825.36x = 83,588.94 × 46,968
  4. Step 4: Simplify right side
    55,825.36x = 3,926,005,333.92
  5. Step 5: Solve for x
    x = 3,926,005,333.92/55,825.36
  6. Step 6: Final answer
    x = 70,326.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.