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Finding the Fourth Proportional to 105,930.56, 158,895.70 and 27,044.80

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Solution

The fourth proportional to 105,930.56, 158,895.70 and 27,044.80 is: 40,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,930.56 : 158,895.70 = 27,044.80 : x
  2. Step 2: Convert to fraction form
    105,930.56/158,895.70 = 27,044.80/x
  3. Step 3: Cross multiply
    105,930.56x = 158,895.70 × 27,044.80
  4. Step 4: Simplify right side
    105,930.56x = 4,297,302,427.36
  5. Step 5: Solve for x
    x = 4,297,302,427.36/105,930.56
  6. Step 6: Final answer
    x = 40,567.16

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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.