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Finding the Fourth Proportional to 35,735.70, 49,313.58 and 19,819.80

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Solution

The fourth proportional to 35,735.70, 49,313.58 and 19,819.80 is: 27,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.70 : 49,313.58 = 19,819.80 : x
  2. Step 2: Convert to fraction form
    35,735.70/49,313.58 = 19,819.80/x
  3. Step 3: Cross multiply
    35,735.70x = 49,313.58 × 19,819.80
  4. Step 4: Simplify right side
    35,735.70x = 977,385,292.88
  5. Step 5: Solve for x
    x = 977,385,292.88/35,735.70
  6. Step 6: Final answer
    x = 27,350.39

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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.