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Finding the Fourth Proportional to 78,128.69, 117,198.50 and 38,675.21

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Solution

The fourth proportional to 78,128.69, 117,198.50 and 38,675.21 is: 58,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.69 : 117,198.50 = 38,675.21 : x
  2. Step 2: Convert to fraction form
    78,128.69/117,198.50 = 38,675.21/x
  3. Step 3: Cross multiply
    78,128.69x = 117,198.50 × 38,675.21
  4. Step 4: Simplify right side
    78,128.69x = 4,532,675,819.82
  5. Step 5: Solve for x
    x = 4,532,675,819.82/78,128.69
  6. Step 6: Final answer
    x = 58,015.51

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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.