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Finding the Fourth Proportional to 76,813.56, 115,244.10 and 39,400.20

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Solution

The fourth proportional to 76,813.56, 115,244.10 and 39,400.20 is: 59,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813.56 : 115,244.10 = 39,400.20 : x
  2. Step 2: Convert to fraction form
    76,813.56/115,244.10 = 39,400.20/x
  3. Step 3: Cross multiply
    76,813.56x = 115,244.10 × 39,400.20
  4. Step 4: Simplify right side
    76,813.56x = 4,540,640,588.82
  5. Step 5: Solve for x
    x = 4,540,640,588.82/76,813.56
  6. Step 6: Final answer
    x = 59,112.49

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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.