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Finding the Fourth Proportional to 39,104.96, 53,963.44 and 23,180

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Solution

The fourth proportional to 39,104.96, 53,963.44 and 23,180 is: 31,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,104.96 : 53,963.44 = 23,180 : x
  2. Step 2: Convert to fraction form
    39,104.96/53,963.44 = 23,180/x
  3. Step 3: Cross multiply
    39,104.96x = 53,963.44 × 23,180
  4. Step 4: Simplify right side
    39,104.96x = 1,250,872,539.20
  5. Step 5: Solve for x
    x = 1,250,872,539.20/39,104.96
  6. Step 6: Final answer
    x = 31,987.57

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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.