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Finding the Fourth Proportional to 78,142.94, 117,086.27 and 33,128.33

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Solution

The fourth proportional to 78,142.94, 117,086.27 and 33,128.33 is: 49,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,142.94 : 117,086.27 = 33,128.33 : x
  2. Step 2: Convert to fraction form
    78,142.94/117,086.27 = 33,128.33/x
  3. Step 3: Cross multiply
    78,142.94x = 117,086.27 × 33,128.33
  4. Step 4: Simplify right side
    78,142.94x = 3,878,872,357.21
  5. Step 5: Solve for x
    x = 3,878,872,357.21/78,142.94
  6. Step 6: Final answer
    x = 49,638.17

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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.