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Finding the Fourth Proportional to 30,416.50, 41,963.02 and 19,081.36

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Solution

The fourth proportional to 30,416.50, 41,963.02 and 19,081.36 is: 26,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.50 : 41,963.02 = 19,081.36 : x
  2. Step 2: Convert to fraction form
    30,416.50/41,963.02 = 19,081.36/x
  3. Step 3: Cross multiply
    30,416.50x = 41,963.02 × 19,081.36
  4. Step 4: Simplify right side
    30,416.50x = 800,711,491.31
  5. Step 5: Solve for x
    x = 800,711,491.31/30,416.50
  6. Step 6: Final answer
    x = 26,324.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.