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Finding the Fourth Proportional to 78,161.67, 117,247.95 and 31,414.50

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Solution

The fourth proportional to 78,161.67, 117,247.95 and 31,414.50 is: 47,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.67 : 117,247.95 = 31,414.50 : x
  2. Step 2: Convert to fraction form
    78,161.67/117,247.95 = 31,414.50/x
  3. Step 3: Cross multiply
    78,161.67x = 117,247.95 × 31,414.50
  4. Step 4: Simplify right side
    78,161.67x = 3,683,285,725.28
  5. Step 5: Solve for x
    x = 3,683,285,725.28/78,161.67
  6. Step 6: Final answer
    x = 47,123.94

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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.