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Finding the Fourth Proportional to 82,819.98, 114,317.37 and 47,033.82

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Solution

The fourth proportional to 82,819.98, 114,317.37 and 47,033.82 is: 64,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,819.98 : 114,317.37 = 47,033.82 : x
  2. Step 2: Convert to fraction form
    82,819.98/114,317.37 = 47,033.82/x
  3. Step 3: Cross multiply
    82,819.98x = 114,317.37 × 47,033.82
  4. Step 4: Simplify right side
    82,819.98x = 5,376,782,603.45
  5. Step 5: Solve for x
    x = 5,376,782,603.45/82,819.98
  6. Step 6: Final answer
    x = 64,921.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.