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Finding the Fourth Proportional to 67,822, 93,594.36 and 41,326

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Solution

The fourth proportional to 67,822, 93,594.36 and 41,326 is: 57,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822 : 93,594.36 = 41,326 : x
  2. Step 2: Convert to fraction form
    67,822/93,594.36 = 41,326/x
  3. Step 3: Cross multiply
    67,822x = 93,594.36 × 41,326
  4. Step 4: Simplify right side
    67,822x = 3,867,880,521.36
  5. Step 5: Solve for x
    x = 3,867,880,521.36/67,822
  6. Step 6: Final answer
    x = 57,029.88

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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.