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Finding the Fourth Proportional to 127,807.29, 191,709.81 and 33,029.37

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Solution

The fourth proportional to 127,807.29, 191,709.81 and 33,029.37 is: 49,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,807.29 : 191,709.81 = 33,029.37 : x
  2. Step 2: Convert to fraction form
    127,807.29/191,709.81 = 33,029.37/x
  3. Step 3: Cross multiply
    127,807.29x = 191,709.81 × 33,029.37
  4. Step 4: Simplify right side
    127,807.29x = 6,332,054,247.12
  5. Step 5: Solve for x
    x = 6,332,054,247.12/127,807.29
  6. Step 6: Final answer
    x = 49,543.76

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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.