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Finding the Fourth Proportional to 39,268.88, 54,170.40 and 23,342

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Solution

The fourth proportional to 39,268.88, 54,170.40 and 23,342 is: 32,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,268.88 : 54,170.40 = 23,342 : x
  2. Step 2: Convert to fraction form
    39,268.88/54,170.40 = 23,342/x
  3. Step 3: Cross multiply
    39,268.88x = 54,170.40 × 23,342
  4. Step 4: Simplify right side
    39,268.88x = 1,264,445,476.80
  5. Step 5: Solve for x
    x = 1,264,445,476.80/39,268.88
  6. Step 6: Final answer
    x = 32,199.68

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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.