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Finding the Fourth Proportional to 92,327.44, 138,750.83 and 54,894.23

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Solution

The fourth proportional to 92,327.44, 138,750.83 and 54,894.23 is: 82,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,327.44 : 138,750.83 = 54,894.23 : x
  2. Step 2: Convert to fraction form
    92,327.44/138,750.83 = 54,894.23/x
  3. Step 3: Cross multiply
    92,327.44x = 138,750.83 × 54,894.23
  4. Step 4: Simplify right side
    92,327.44x = 7,616,619,974.71
  5. Step 5: Solve for x
    x = 7,616,619,974.71/92,327.44
  6. Step 6: Final answer
    x = 82,495.73

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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.