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Finding the Fourth Proportional to 35,477.94, 48,961.78 and 19,562.38

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Solution

The fourth proportional to 35,477.94, 48,961.78 and 19,562.38 is: 26,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.94 : 48,961.78 = 19,562.38 : x
  2. Step 2: Convert to fraction form
    35,477.94/48,961.78 = 19,562.38/x
  3. Step 3: Cross multiply
    35,477.94x = 48,961.78 × 19,562.38
  4. Step 4: Simplify right side
    35,477.94x = 957,808,945.84
  5. Step 5: Solve for x
    x = 957,808,945.84/35,477.94
  6. Step 6: Final answer
    x = 26,997.31

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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.