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Finding the Fourth Proportional to 54,782.51, 82,174.01 and 17,342.77

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Solution

The fourth proportional to 54,782.51, 82,174.01 and 17,342.77 is: 26,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.51 : 82,174.01 = 17,342.77 : x
  2. Step 2: Convert to fraction form
    54,782.51/82,174.01 = 17,342.77/x
  3. Step 3: Cross multiply
    54,782.51x = 82,174.01 × 17,342.77
  4. Step 4: Simplify right side
    54,782.51x = 1,425,125,101.48
  5. Step 5: Solve for x
    x = 1,425,125,101.48/54,782.51
  6. Step 6: Final answer
    x = 26,014.23

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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.