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Finding the Fourth Proportional to 56,201.88, 84,300.84 and 14,082.30

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Solution

The fourth proportional to 56,201.88, 84,300.84 and 14,082.30 is: 21,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,201.88 : 84,300.84 = 14,082.30 : x
  2. Step 2: Convert to fraction form
    56,201.88/84,300.84 = 14,082.30/x
  3. Step 3: Cross multiply
    56,201.88x = 84,300.84 × 14,082.30
  4. Step 4: Simplify right side
    56,201.88x = 1,187,149,719.13
  5. Step 5: Solve for x
    x = 1,187,149,719.13/56,201.88
  6. Step 6: Final answer
    x = 21,122.95

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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.