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Finding the Fourth Proportional to 105,016.38, 144,924.84 and 59,074.80

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Solution

The fourth proportional to 105,016.38, 144,924.84 and 59,074.80 is: 81,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.38 : 144,924.84 = 59,074.80 : x
  2. Step 2: Convert to fraction form
    105,016.38/144,924.84 = 59,074.80/x
  3. Step 3: Cross multiply
    105,016.38x = 144,924.84 × 59,074.80
  4. Step 4: Simplify right side
    105,016.38x = 8,561,405,938.03
  5. Step 5: Solve for x
    x = 8,561,405,938.03/105,016.38
  6. Step 6: Final answer
    x = 81,524.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.