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Finding the Fourth Proportional to 39,862.38, 55,008.05 and 21,957

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Solution

The fourth proportional to 39,862.38, 55,008.05 and 21,957 is: 30,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,862.38 : 55,008.05 = 21,957 : x
  2. Step 2: Convert to fraction form
    39,862.38/55,008.05 = 21,957/x
  3. Step 3: Cross multiply
    39,862.38x = 55,008.05 × 21,957
  4. Step 4: Simplify right side
    39,862.38x = 1,207,811,644.07
  5. Step 5: Solve for x
    x = 1,207,811,644.07/39,862.38
  6. Step 6: Final answer
    x = 30,299.54

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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.