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Finding the Fourth Proportional to 78,420.42, 117,564.50 and 34,013.72

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Solution

The fourth proportional to 78,420.42, 117,564.50 and 34,013.72 is: 50,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.42 : 117,564.50 = 34,013.72 : x
  2. Step 2: Convert to fraction form
    78,420.42/117,564.50 = 34,013.72/x
  3. Step 3: Cross multiply
    78,420.42x = 117,564.50 × 34,013.72
  4. Step 4: Simplify right side
    78,420.42x = 3,998,806,108.78
  5. Step 5: Solve for x
    x = 3,998,806,108.78/78,420.42
  6. Step 6: Final answer
    x = 50,991.90

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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.