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Finding the Fourth Proportional to 99,876.68, 137,828.88 and 54,554.64

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Solution

The fourth proportional to 99,876.68, 137,828.88 and 54,554.64 is: 75,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.68 : 137,828.88 = 54,554.64 : x
  2. Step 2: Convert to fraction form
    99,876.68/137,828.88 = 54,554.64/x
  3. Step 3: Cross multiply
    99,876.68x = 137,828.88 × 54,554.64
  4. Step 4: Simplify right side
    99,876.68x = 7,519,204,930.00
  5. Step 5: Solve for x
    x = 7,519,204,930.00/99,876.68
  6. Step 6: Final answer
    x = 75,284.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.