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Finding the Fourth Proportional to 92,257.56, 138,430.08 and 54,891.48

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Solution

The fourth proportional to 92,257.56, 138,430.08 and 54,891.48 is: 82,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,257.56 : 138,430.08 = 54,891.48 : x
  2. Step 2: Convert to fraction form
    92,257.56/138,430.08 = 54,891.48/x
  3. Step 3: Cross multiply
    92,257.56x = 138,430.08 × 54,891.48
  4. Step 4: Simplify right side
    92,257.56x = 7,598,631,967.72
  5. Step 5: Solve for x
    x = 7,598,631,967.72/92,257.56
  6. Step 6: Final answer
    x = 82,363.24

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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.