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Finding the Fourth Proportional to 29,384.57, 44,082.43 and 9,668.77

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Solution

The fourth proportional to 29,384.57, 44,082.43 and 9,668.77 is: 14,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.57 : 44,082.43 = 9,668.77 : x
  2. Step 2: Convert to fraction form
    29,384.57/44,082.43 = 9,668.77/x
  3. Step 3: Cross multiply
    29,384.57x = 44,082.43 × 9,668.77
  4. Step 4: Simplify right side
    29,384.57x = 426,222,742.33
  5. Step 5: Solve for x
    x = 426,222,742.33/29,384.57
  6. Step 6: Final answer
    x = 14,504.98

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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.