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Finding the Fourth Proportional to 78,249.78, 117,383.94 and 28,353.42

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Solution

The fourth proportional to 78,249.78, 117,383.94 and 28,353.42 is: 42,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249.78 : 117,383.94 = 28,353.42 : x
  2. Step 2: Convert to fraction form
    78,249.78/117,383.94 = 28,353.42/x
  3. Step 3: Cross multiply
    78,249.78x = 117,383.94 × 28,353.42
  4. Step 4: Simplify right side
    78,249.78x = 3,328,236,152.07
  5. Step 5: Solve for x
    x = 3,328,236,152.07/78,249.78
  6. Step 6: Final answer
    x = 42,533.49

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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.