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Finding the Fourth Proportional to 77,668.69, 116,503.32 and 23,633.91

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Solution

The fourth proportional to 77,668.69, 116,503.32 and 23,633.91 is: 35,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.69 : 116,503.32 = 23,633.91 : x
  2. Step 2: Convert to fraction form
    77,668.69/116,503.32 = 23,633.91/x
  3. Step 3: Cross multiply
    77,668.69x = 116,503.32 × 23,633.91
  4. Step 4: Simplify right side
    77,668.69x = 2,753,428,979.58
  5. Step 5: Solve for x
    x = 2,753,428,979.58/77,668.69
  6. Step 6: Final answer
    x = 35,450.95

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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.