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Finding the Fourth Proportional to 48,668, 67,161.84 and 26,312

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Solution

The fourth proportional to 48,668, 67,161.84 and 26,312 is: 36,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,668 : 67,161.84 = 26,312 : x
  2. Step 2: Convert to fraction form
    48,668/67,161.84 = 26,312/x
  3. Step 3: Cross multiply
    48,668x = 67,161.84 × 26,312
  4. Step 4: Simplify right side
    48,668x = 1,767,162,334.08
  5. Step 5: Solve for x
    x = 1,767,162,334.08/48,668
  6. Step 6: Final answer
    x = 36,310.56

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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.