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Finding the Fourth Proportional to 37,239.94, 51,443.34 and 33,876.82

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Solution

The fourth proportional to 37,239.94, 51,443.34 and 33,876.82 is: 46,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,239.94 : 51,443.34 = 33,876.82 : x
  2. Step 2: Convert to fraction form
    37,239.94/51,443.34 = 33,876.82/x
  3. Step 3: Cross multiply
    37,239.94x = 51,443.34 × 33,876.82
  4. Step 4: Simplify right side
    37,239.94x = 1,742,736,769.38
  5. Step 5: Solve for x
    x = 1,742,736,769.38/37,239.94
  6. Step 6: Final answer
    x = 46,797.52

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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.