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Finding the Fourth Proportional to 35,638.49, 49,181.24 and 19,285.69

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Solution

The fourth proportional to 35,638.49, 49,181.24 and 19,285.69 is: 26,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.49 : 49,181.24 = 19,285.69 : x
  2. Step 2: Convert to fraction form
    35,638.49/49,181.24 = 19,285.69/x
  3. Step 3: Cross multiply
    35,638.49x = 49,181.24 × 19,285.69
  4. Step 4: Simplify right side
    35,638.49x = 948,493,929.07
  5. Step 5: Solve for x
    x = 948,493,929.07/35,638.49
  6. Step 6: Final answer
    x = 26,614.32

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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.