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Finding the Fourth Proportional to 55,891.94, 83,837.82 and 14,338.94

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Solution

The fourth proportional to 55,891.94, 83,837.82 and 14,338.94 is: 21,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,891.94 : 83,837.82 = 14,338.94 : x
  2. Step 2: Convert to fraction form
    55,891.94/83,837.82 = 14,338.94/x
  3. Step 3: Cross multiply
    55,891.94x = 83,837.82 × 14,338.94
  4. Step 4: Simplify right side
    55,891.94x = 1,202,145,470.71
  5. Step 5: Solve for x
    x = 1,202,145,470.71/55,891.94
  6. Step 6: Final answer
    x = 21,508.39

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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.