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Finding the Fourth Proportional to 55,694.20, 83,541.48 and 14,141.20

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Solution

The fourth proportional to 55,694.20, 83,541.48 and 14,141.20 is: 21,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,694.20 : 83,541.48 = 14,141.20 : x
  2. Step 2: Convert to fraction form
    55,694.20/83,541.48 = 14,141.20/x
  3. Step 3: Cross multiply
    55,694.20x = 83,541.48 × 14,141.20
  4. Step 4: Simplify right side
    55,694.20x = 1,181,376,776.98
  5. Step 5: Solve for x
    x = 1,181,376,776.98/55,694.20
  6. Step 6: Final answer
    x = 21,211.85

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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.