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Finding the Fourth Proportional to 39,882.88, 55,038.08 and 21,977.46

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Solution

The fourth proportional to 39,882.88, 55,038.08 and 21,977.46 is: 30,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.88 : 55,038.08 = 21,977.46 : x
  2. Step 2: Convert to fraction form
    39,882.88/55,038.08 = 21,977.46/x
  3. Step 3: Cross multiply
    39,882.88x = 55,038.08 × 21,977.46
  4. Step 4: Simplify right side
    39,882.88x = 1,209,597,201.68
  5. Step 5: Solve for x
    x = 1,209,597,201.68/39,882.88
  6. Step 6: Final answer
    x = 30,328.73

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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.