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Finding the Fourth Proportional to 29,893.56, 41,225.64 and 19,680.28

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Solution

The fourth proportional to 29,893.56, 41,225.64 and 19,680.28 is: 27,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.56 : 41,225.64 = 19,680.28 : x
  2. Step 2: Convert to fraction form
    29,893.56/41,225.64 = 19,680.28/x
  3. Step 3: Cross multiply
    29,893.56x = 41,225.64 × 19,680.28
  4. Step 4: Simplify right side
    29,893.56x = 811,332,138.38
  5. Step 5: Solve for x
    x = 811,332,138.38/29,893.56
  6. Step 6: Final answer
    x = 27,140.70

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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.