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Finding the Fourth Proportional to 105,624, 158,450.04 and 49,456.44

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Solution

The fourth proportional to 105,624, 158,450.04 and 49,456.44 is: 74,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,624 : 158,450.04 = 49,456.44 : x
  2. Step 2: Convert to fraction form
    105,624/158,450.04 = 49,456.44/x
  3. Step 3: Cross multiply
    105,624x = 158,450.04 × 49,456.44
  4. Step 4: Simplify right side
    105,624x = 7,836,374,896.26
  5. Step 5: Solve for x
    x = 7,836,374,896.26/105,624
  6. Step 6: Final answer
    x = 74,191.23

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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.