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Finding the Fourth Proportional to 78,114.24, 107,791.16 and 45,845.37

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Solution

The fourth proportional to 78,114.24, 107,791.16 and 45,845.37 is: 63,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.24 : 107,791.16 = 45,845.37 : x
  2. Step 2: Convert to fraction form
    78,114.24/107,791.16 = 45,845.37/x
  3. Step 3: Cross multiply
    78,114.24x = 107,791.16 × 45,845.37
  4. Step 4: Simplify right side
    78,114.24x = 4,941,725,383.70
  5. Step 5: Solve for x
    x = 4,941,725,383.70/78,114.24
  6. Step 6: Final answer
    x = 63,262.80

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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.