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Finding the Fourth Proportional to 54,841.88, 82,263.27 and 13,288.88

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Solution

The fourth proportional to 54,841.88, 82,263.27 and 13,288.88 is: 19,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.88 : 82,263.27 = 13,288.88 : x
  2. Step 2: Convert to fraction form
    54,841.88/82,263.27 = 13,288.88/x
  3. Step 3: Cross multiply
    54,841.88x = 82,263.27 × 13,288.88
  4. Step 4: Simplify right side
    54,841.88x = 1,093,186,312.12
  5. Step 5: Solve for x
    x = 1,093,186,312.12/54,841.88
  6. Step 6: Final answer
    x = 19,933.42

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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.