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Finding the Fourth Proportional to 105,876.25, 158,814.38 and 32,004.25

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Solution

The fourth proportional to 105,876.25, 158,814.38 and 32,004.25 is: 48,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876.25 : 158,814.38 = 32,004.25 : x
  2. Step 2: Convert to fraction form
    105,876.25/158,814.38 = 32,004.25/x
  3. Step 3: Cross multiply
    105,876.25x = 158,814.38 × 32,004.25
  4. Step 4: Simplify right side
    105,876.25x = 5,082,735,121.12
  5. Step 5: Solve for x
    x = 5,082,735,121.12/105,876.25
  6. Step 6: Final answer
    x = 48,006.38

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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.