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Finding the Fourth Proportional to 78,511.50, 117,797.01 and 36,411.75

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Solution

The fourth proportional to 78,511.50, 117,797.01 and 36,411.75 is: 54,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,511.50 : 117,797.01 = 36,411.75 : x
  2. Step 2: Convert to fraction form
    78,511.50/117,797.01 = 36,411.75/x
  3. Step 3: Cross multiply
    78,511.50x = 117,797.01 × 36,411.75
  4. Step 4: Simplify right side
    78,511.50x = 4,289,195,278.87
  5. Step 5: Solve for x
    x = 4,289,195,278.87/78,511.50
  6. Step 6: Final answer
    x = 54,631.43

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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.