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Finding the Fourth Proportional to 27,648.43, 41,472.63 and 6,871.93

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Solution

The fourth proportional to 27,648.43, 41,472.63 and 6,871.93 is: 10,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.43 : 41,472.63 = 6,871.93 : x
  2. Step 2: Convert to fraction form
    27,648.43/41,472.63 = 6,871.93/x
  3. Step 3: Cross multiply
    27,648.43x = 41,472.63 × 6,871.93
  4. Step 4: Simplify right side
    27,648.43x = 284,996,906.59
  5. Step 5: Solve for x
    x = 284,996,906.59/27,648.43
  6. Step 6: Final answer
    x = 10,307.89

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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.