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Finding the Fourth Proportional to 105,016.80, 157,535.01 and 41,821.68

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Solution

The fourth proportional to 105,016.80, 157,535.01 and 41,821.68 is: 62,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.80 : 157,535.01 = 41,821.68 : x
  2. Step 2: Convert to fraction form
    105,016.80/157,535.01 = 41,821.68/x
  3. Step 3: Cross multiply
    105,016.80x = 157,535.01 × 41,821.68
  4. Step 4: Simplify right side
    105,016.80x = 6,588,378,777.02
  5. Step 5: Solve for x
    x = 6,588,378,777.02/105,016.80
  6. Step 6: Final answer
    x = 62,736.43

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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.