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Finding the Fourth Proportional to 54,898.62, 82,343.67 and 17,460.82

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Solution

The fourth proportional to 54,898.62, 82,343.67 and 17,460.82 is: 26,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.62 : 82,343.67 = 17,460.82 : x
  2. Step 2: Convert to fraction form
    54,898.62/82,343.67 = 17,460.82/x
  3. Step 3: Cross multiply
    54,898.62x = 82,343.67 × 17,460.82
  4. Step 4: Simplify right side
    54,898.62x = 1,437,788,000.01
  5. Step 5: Solve for x
    x = 1,437,788,000.01/54,898.62
  6. Step 6: Final answer
    x = 26,189.88

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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.