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Finding the Fourth Proportional to 48,613, 67,085.99 and 26,257

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Solution

The fourth proportional to 48,613, 67,085.99 and 26,257 is: 36,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613 : 67,085.99 = 26,257 : x
  2. Step 2: Convert to fraction form
    48,613/67,085.99 = 26,257/x
  3. Step 3: Cross multiply
    48,613x = 67,085.99 × 26,257
  4. Step 4: Simplify right side
    48,613x = 1,761,476,839.43
  5. Step 5: Solve for x
    x = 1,761,476,839.43/48,613
  6. Step 6: Final answer
    x = 36,234.69

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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.