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Finding the Fourth Proportional to 54,940.48, 82,410.82 and 19,871.93

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Solution

The fourth proportional to 54,940.48, 82,410.82 and 19,871.93 is: 29,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.48 : 82,410.82 = 19,871.93 : x
  2. Step 2: Convert to fraction form
    54,940.48/82,410.82 = 19,871.93/x
  3. Step 3: Cross multiply
    54,940.48x = 82,410.82 × 19,871.93
  4. Step 4: Simplify right side
    54,940.48x = 1,637,662,202.63
  5. Step 5: Solve for x
    x = 1,637,662,202.63/54,940.48
  6. Step 6: Final answer
    x = 29,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.