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Finding the Fourth Proportional to 35,735.29, 49,313.94 and 19,819.39

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Solution

The fourth proportional to 35,735.29, 49,313.94 and 19,819.39 is: 27,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.29 : 49,313.94 = 19,819.39 : x
  2. Step 2: Convert to fraction form
    35,735.29/49,313.94 = 19,819.39/x
  3. Step 3: Cross multiply
    35,735.29x = 49,313.94 × 19,819.39
  4. Step 4: Simplify right side
    35,735.29x = 977,372,209.30
  5. Step 5: Solve for x
    x = 977,372,209.30/35,735.29
  6. Step 6: Final answer
    x = 27,350.34

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1.5x scale

Why These Related Problems?

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