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Finding the Fourth Proportional to 78,589.78, 117,884.76 and 19,424.50

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Solution

The fourth proportional to 78,589.78, 117,884.76 and 19,424.50 is: 29,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.78 : 117,884.76 = 19,424.50 : x
  2. Step 2: Convert to fraction form
    78,589.78/117,884.76 = 19,424.50/x
  3. Step 3: Cross multiply
    78,589.78x = 117,884.76 × 19,424.50
  4. Step 4: Simplify right side
    78,589.78x = 2,289,852,520.62
  5. Step 5: Solve for x
    x = 2,289,852,520.62/78,589.78
  6. Step 6: Final answer
    x = 29,136.77

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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.