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Finding the Fourth Proportional to 49,345.03, 68,096.02 and 27,834.71

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Solution

The fourth proportional to 49,345.03, 68,096.02 and 27,834.71 is: 38,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,345.03 : 68,096.02 = 27,834.71 : x
  2. Step 2: Convert to fraction form
    49,345.03/68,096.02 = 27,834.71/x
  3. Step 3: Cross multiply
    49,345.03x = 68,096.02 × 27,834.71
  4. Step 4: Simplify right side
    49,345.03x = 1,895,432,968.85
  5. Step 5: Solve for x
    x = 1,895,432,968.85/49,345.03
  6. Step 6: Final answer
    x = 38,411.83

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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.