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Finding the Fourth Proportional to 76,022.40, 114,000.97 and 26,107.50

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Solution

The fourth proportional to 76,022.40, 114,000.97 and 26,107.50 is: 39,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,022.40 : 114,000.97 = 26,107.50 : x
  2. Step 2: Convert to fraction form
    76,022.40/114,000.97 = 26,107.50/x
  3. Step 3: Cross multiply
    76,022.40x = 114,000.97 × 26,107.50
  4. Step 4: Simplify right side
    76,022.40x = 2,976,280,324.28
  5. Step 5: Solve for x
    x = 2,976,280,324.28/76,022.40
  6. Step 6: Final answer
    x = 39,150.04

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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.