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Finding the Fourth Proportional to 54,902.58, 82,353 and 17,462.11

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Solution

The fourth proportional to 54,902.58, 82,353 and 17,462.11 is: 26,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.58 : 82,353 = 17,462.11 : x
  2. Step 2: Convert to fraction form
    54,902.58/82,353 = 17,462.11/x
  3. Step 3: Cross multiply
    54,902.58x = 82,353 × 17,462.11
  4. Step 4: Simplify right side
    54,902.58x = 1,438,057,144.83
  5. Step 5: Solve for x
    x = 1,438,057,144.83/54,902.58
  6. Step 6: Final answer
    x = 26,192.89

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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.