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Finding the Fourth Proportional to 55,361.94, 83,056.08 and 17,922

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Solution

The fourth proportional to 55,361.94, 83,056.08 and 17,922 is: 26,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,361.94 : 83,056.08 = 17,922 : x
  2. Step 2: Convert to fraction form
    55,361.94/83,056.08 = 17,922/x
  3. Step 3: Cross multiply
    55,361.94x = 83,056.08 × 17,922
  4. Step 4: Simplify right side
    55,361.94x = 1,488,531,065.76
  5. Step 5: Solve for x
    x = 1,488,531,065.76/55,361.94
  6. Step 6: Final answer
    x = 26,887.26

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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.