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Finding the Fourth Proportional to 92,257.92, 138,430.62 and 54,891.81

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Solution

The fourth proportional to 92,257.92, 138,430.62 and 54,891.81 is: 82,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,257.92 : 138,430.62 = 54,891.81 : x
  2. Step 2: Convert to fraction form
    92,257.92/138,430.62 = 54,891.81/x
  3. Step 3: Cross multiply
    92,257.92x = 138,430.62 × 54,891.81
  4. Step 4: Simplify right side
    92,257.92x = 7,598,707,291.22
  5. Step 5: Solve for x
    x = 7,598,707,291.22/92,257.92
  6. Step 6: Final answer
    x = 82,363.74

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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.