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Finding the Fourth Proportional to 30,411.40, 41,968.38 and 19,081.33

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Solution

The fourth proportional to 30,411.40, 41,968.38 and 19,081.33 is: 26,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.40 : 41,968.38 = 19,081.33 : x
  2. Step 2: Convert to fraction form
    30,411.40/41,968.38 = 19,081.33/x
  3. Step 3: Cross multiply
    30,411.40x = 41,968.38 × 19,081.33
  4. Step 4: Simplify right side
    30,411.40x = 800,812,508.35
  5. Step 5: Solve for x
    x = 800,812,508.35/30,411.40
  6. Step 6: Final answer
    x = 26,332.64

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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.