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Finding the Fourth Proportional to 54,137.41, 81,206.09 and 14,700.31

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Solution

The fourth proportional to 54,137.41, 81,206.09 and 14,700.31 is: 22,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,137.41 : 81,206.09 = 14,700.31 : x
  2. Step 2: Convert to fraction form
    54,137.41/81,206.09 = 14,700.31/x
  3. Step 3: Cross multiply
    54,137.41x = 81,206.09 × 14,700.31
  4. Step 4: Simplify right side
    54,137.41x = 1,193,754,475.50
  5. Step 5: Solve for x
    x = 1,193,754,475.50/54,137.41
  6. Step 6: Final answer
    x = 22,050.46

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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.