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Finding the Fourth Proportional to 84,709.24, 127,022.99 and 49,179.49

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Solution

The fourth proportional to 84,709.24, 127,022.99 and 49,179.49 is: 73,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,709.24 : 127,022.99 = 49,179.49 : x
  2. Step 2: Convert to fraction form
    84,709.24/127,022.99 = 49,179.49/x
  3. Step 3: Cross multiply
    84,709.24x = 127,022.99 × 49,179.49
  4. Step 4: Simplify right side
    84,709.24x = 6,246,925,303.02
  5. Step 5: Solve for x
    x = 6,246,925,303.02/84,709.24
  6. Step 6: Final answer
    x = 73,745.50

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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.