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Finding the Fourth Proportional to 78,427.12, 117,660.48 and 23,023.12

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Solution

The fourth proportional to 78,427.12, 117,660.48 and 23,023.12 is: 34,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.12 : 117,660.48 = 23,023.12 : x
  2. Step 2: Convert to fraction form
    78,427.12/117,660.48 = 23,023.12/x
  3. Step 3: Cross multiply
    78,427.12x = 117,660.48 × 23,023.12
  4. Step 4: Simplify right side
    78,427.12x = 2,708,911,350.30
  5. Step 5: Solve for x
    x = 2,708,911,350.30/78,427.12
  6. Step 6: Final answer
    x = 34,540.49

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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.