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Finding the Fourth Proportional to 109,770.89, 164,687.96 and 53,643.35

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Solution

The fourth proportional to 109,770.89, 164,687.96 and 53,643.35 is: 80,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.89 : 164,687.96 = 53,643.35 : x
  2. Step 2: Convert to fraction form
    109,770.89/164,687.96 = 53,643.35/x
  3. Step 3: Cross multiply
    109,770.89x = 164,687.96 × 53,643.35
  4. Step 4: Simplify right side
    109,770.89x = 8,834,413,879.07
  5. Step 5: Solve for x
    x = 8,834,413,879.07/109,770.89
  6. Step 6: Final answer
    x = 80,480.48

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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.