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Finding the Fourth Proportional to 54,951.84, 82,443.21 and 15,509.28

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Solution

The fourth proportional to 54,951.84, 82,443.21 and 15,509.28 is: 23,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.84 : 82,443.21 = 15,509.28 : x
  2. Step 2: Convert to fraction form
    54,951.84/82,443.21 = 15,509.28/x
  3. Step 3: Cross multiply
    54,951.84x = 82,443.21 × 15,509.28
  4. Step 4: Simplify right side
    54,951.84x = 1,278,634,827.99
  5. Step 5: Solve for x
    x = 1,278,634,827.99/54,951.84
  6. Step 6: Final answer
    x = 23,268.28

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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.