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Finding the Fourth Proportional to 105,606.81, 158,412.65 and 35,486.73

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Solution

The fourth proportional to 105,606.81, 158,412.65 and 35,486.73 is: 53,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,606.81 : 158,412.65 = 35,486.73 : x
  2. Step 2: Convert to fraction form
    105,606.81/158,412.65 = 35,486.73/x
  3. Step 3: Cross multiply
    105,606.81x = 158,412.65 × 35,486.73
  4. Step 4: Simplify right side
    105,606.81x = 5,621,546,761.70
  5. Step 5: Solve for x
    x = 5,621,546,761.70/105,606.81
  6. Step 6: Final answer
    x = 53,230.91

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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.