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Finding the Fourth Proportional to 54,764.34, 82,097.28 and 19,679.46

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Solution

The fourth proportional to 54,764.34, 82,097.28 and 19,679.46 is: 29,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,764.34 : 82,097.28 = 19,679.46 : x
  2. Step 2: Convert to fraction form
    54,764.34/82,097.28 = 19,679.46/x
  3. Step 3: Cross multiply
    54,764.34x = 82,097.28 × 19,679.46
  4. Step 4: Simplify right side
    54,764.34x = 1,615,630,137.87
  5. Step 5: Solve for x
    x = 1,615,630,137.87/54,764.34
  6. Step 6: Final answer
    x = 29,501.50

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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.