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Finding the Fourth Proportional to 54,934.80, 82,415.70 and 15,491.40

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Solution

The fourth proportional to 54,934.80, 82,415.70 and 15,491.40 is: 23,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,934.80 : 82,415.70 = 15,491.40 : x
  2. Step 2: Convert to fraction form
    54,934.80/82,415.70 = 15,491.40/x
  3. Step 3: Cross multiply
    54,934.80x = 82,415.70 × 15,491.40
  4. Step 4: Simplify right side
    54,934.80x = 1,276,734,574.98
  5. Step 5: Solve for x
    x = 1,276,734,574.98/54,934.80
  6. Step 6: Final answer
    x = 23,240.91

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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.