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Finding the Fourth Proportional to 84,214.00, 126,257.81 and 50,927.24

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Solution

The fourth proportional to 84,214.00, 126,257.81 and 50,927.24 is: 76,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.00 : 126,257.81 = 50,927.24 : x
  2. Step 2: Convert to fraction form
    84,214.00/126,257.81 = 50,927.24/x
  3. Step 3: Cross multiply
    84,214.00x = 126,257.81 × 50,927.24
  4. Step 4: Simplify right side
    84,214.00x = 6,429,961,537.11
  5. Step 5: Solve for x
    x = 6,429,961,537.11/84,214.00
  6. Step 6: Final answer
    x = 76,352.65

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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.