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Finding the Fourth Proportional to 50,732.91, 76,103.01 and 15,668.01

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Solution

The fourth proportional to 50,732.91, 76,103.01 and 15,668.01 is: 23,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,732.91 : 76,103.01 = 15,668.01 : x
  2. Step 2: Convert to fraction form
    50,732.91/76,103.01 = 15,668.01/x
  3. Step 3: Cross multiply
    50,732.91x = 76,103.01 × 15,668.01
  4. Step 4: Simplify right side
    50,732.91x = 1,192,382,721.71
  5. Step 5: Solve for x
    x = 1,192,382,721.71/50,732.91
  6. Step 6: Final answer
    x = 23,503.14

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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.