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Finding the Fourth Proportional to 82,554.75, 113,926.97 and 44,829

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Solution

The fourth proportional to 82,554.75, 113,926.97 and 44,829 is: 61,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,554.75 : 113,926.97 = 44,829 : x
  2. Step 2: Convert to fraction form
    82,554.75/113,926.97 = 44,829/x
  3. Step 3: Cross multiply
    82,554.75x = 113,926.97 × 44,829
  4. Step 4: Simplify right side
    82,554.75x = 5,107,232,250.20
  5. Step 5: Solve for x
    x = 5,107,232,250.20/82,554.75
  6. Step 6: Final answer
    x = 61,864.79

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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.