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Finding the Fourth Proportional to 54,992.84, 82,489.28 and 31,604.36

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Solution

The fourth proportional to 54,992.84, 82,489.28 and 31,604.36 is: 47,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.84 : 82,489.28 = 31,604.36 : x
  2. Step 2: Convert to fraction form
    54,992.84/82,489.28 = 31,604.36/x
  3. Step 3: Cross multiply
    54,992.84x = 82,489.28 × 31,604.36
  4. Step 4: Simplify right side
    54,992.84x = 2,607,020,901.26
  5. Step 5: Solve for x
    x = 2,607,020,901.26/54,992.84
  6. Step 6: Final answer
    x = 47,406.55

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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.