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Finding the Fourth Proportional to 48,800, 67,344 and 26,444.16

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Solution

The fourth proportional to 48,800, 67,344 and 26,444.16 is: 36,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,800 : 67,344 = 26,444.16 : x
  2. Step 2: Convert to fraction form
    48,800/67,344 = 26,444.16/x
  3. Step 3: Cross multiply
    48,800x = 67,344 × 26,444.16
  4. Step 4: Simplify right side
    48,800x = 1,780,855,511.04
  5. Step 5: Solve for x
    x = 1,780,855,511.04/48,800
  6. Step 6: Final answer
    x = 36,492.94

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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.