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Finding the Fourth Proportional to 105,624.33, 158,419.92 and 34,546.39

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Solution

The fourth proportional to 105,624.33, 158,419.92 and 34,546.39 is: 51,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,624.33 : 158,419.92 = 34,546.39 : x
  2. Step 2: Convert to fraction form
    105,624.33/158,419.92 = 34,546.39/x
  3. Step 3: Cross multiply
    105,624.33x = 158,419.92 × 34,546.39
  4. Step 4: Simplify right side
    105,624.33x = 5,472,836,340.09
  5. Step 5: Solve for x
    x = 5,472,836,340.09/105,624.33
  6. Step 6: Final answer
    x = 51,814.16

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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.