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Finding the Fourth Proportional to 78,420.20, 117,564.16 and 34,013.50

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Solution

The fourth proportional to 78,420.20, 117,564.16 and 34,013.50 is: 50,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.20 : 117,564.16 = 34,013.50 : x
  2. Step 2: Convert to fraction form
    78,420.20/117,564.16 = 34,013.50/x
  3. Step 3: Cross multiply
    78,420.20x = 117,564.16 × 34,013.50
  4. Step 4: Simplify right side
    78,420.20x = 3,998,768,556.16
  5. Step 5: Solve for x
    x = 3,998,768,556.16/78,420.20
  6. Step 6: Final answer
    x = 50,991.56

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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.