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Finding the Fourth Proportional to 98,466.24, 135,882.72 and 53,754.24

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Solution

The fourth proportional to 98,466.24, 135,882.72 and 53,754.24 is: 74,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.24 : 135,882.72 = 53,754.24 : x
  2. Step 2: Convert to fraction form
    98,466.24/135,882.72 = 53,754.24/x
  3. Step 3: Cross multiply
    98,466.24x = 135,882.72 × 53,754.24
  4. Step 4: Simplify right side
    98,466.24x = 7,304,272,342.73
  5. Step 5: Solve for x
    x = 7,304,272,342.73/98,466.24
  6. Step 6: Final answer
    x = 74,180.47

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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.