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Finding the Fourth Proportional to 49,311, 73,966.54 and 16,479

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Solution

The fourth proportional to 49,311, 73,966.54 and 16,479 is: 24,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311 : 73,966.54 = 16,479 : x
  2. Step 2: Convert to fraction form
    49,311/73,966.54 = 16,479/x
  3. Step 3: Cross multiply
    49,311x = 73,966.54 × 16,479
  4. Step 4: Simplify right side
    49,311x = 1,218,894,612.66
  5. Step 5: Solve for x
    x = 1,218,894,612.66/49,311
  6. Step 6: Final answer
    x = 24,718.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.