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Finding the Fourth Proportional to 54,170.88, 81,285.48 and 54,006

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Solution

The fourth proportional to 54,170.88, 81,285.48 and 54,006 is: 81,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,170.88 : 81,285.48 = 54,006 : x
  2. Step 2: Convert to fraction form
    54,170.88/81,285.48 = 54,006/x
  3. Step 3: Cross multiply
    54,170.88x = 81,285.48 × 54,006
  4. Step 4: Simplify right side
    54,170.88x = 4,389,903,632.88
  5. Step 5: Solve for x
    x = 4,389,903,632.88/54,170.88
  6. Step 6: Final answer
    x = 81,038.07

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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.