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Finding the Fourth Proportional to 78,419.20, 117,562.67 and 34,012.50

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Solution

The fourth proportional to 78,419.20, 117,562.67 and 34,012.50 is: 50,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.20 : 117,562.67 = 34,012.50 : x
  2. Step 2: Convert to fraction form
    78,419.20/117,562.67 = 34,012.50/x
  3. Step 3: Cross multiply
    78,419.20x = 117,562.67 × 34,012.50
  4. Step 4: Simplify right side
    78,419.20x = 3,998,600,143.31
  5. Step 5: Solve for x
    x = 3,998,600,143.31/78,419.20
  6. Step 6: Final answer
    x = 50,990.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.