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Finding the Fourth Proportional to 35,563.48, 49,078.11 and 19,648.29

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Solution

The fourth proportional to 35,563.48, 49,078.11 and 19,648.29 is: 27,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.48 : 49,078.11 = 19,648.29 : x
  2. Step 2: Convert to fraction form
    35,563.48/49,078.11 = 19,648.29/x
  3. Step 3: Cross multiply
    35,563.48x = 49,078.11 × 19,648.29
  4. Step 4: Simplify right side
    35,563.48x = 964,301,195.66
  5. Step 5: Solve for x
    x = 964,301,195.66/35,563.48
  6. Step 6: Final answer
    x = 27,114.93

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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.