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Finding the Fourth Proportional to 78,076.08, 107,745.24 and 42,266.39

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Solution

The fourth proportional to 78,076.08, 107,745.24 and 42,266.39 is: 58,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.08 : 107,745.24 = 42,266.39 : x
  2. Step 2: Convert to fraction form
    78,076.08/107,745.24 = 42,266.39/x
  3. Step 3: Cross multiply
    78,076.08x = 107,745.24 × 42,266.39
  4. Step 4: Simplify right side
    78,076.08x = 4,554,001,795.76
  5. Step 5: Solve for x
    x = 4,554,001,795.76/78,076.08
  6. Step 6: Final answer
    x = 58,327.75

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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.