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Finding the Fourth Proportional to 81,518.48, 122,277.68 and 53,810

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Solution

The fourth proportional to 81,518.48, 122,277.68 and 53,810 is: 80,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,518.48 : 122,277.68 = 53,810 : x
  2. Step 2: Convert to fraction form
    81,518.48/122,277.68 = 53,810/x
  3. Step 3: Cross multiply
    81,518.48x = 122,277.68 × 53,810
  4. Step 4: Simplify right side
    81,518.48x = 6,579,761,960.80
  5. Step 5: Solve for x
    x = 6,579,761,960.80/81,518.48
  6. Step 6: Final answer
    x = 80,714.97

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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.