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Finding the Fourth Proportional to 84,429.94, 126,585.87 and 37,022.26

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Solution

The fourth proportional to 84,429.94, 126,585.87 and 37,022.26 is: 55,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,429.94 : 126,585.87 = 37,022.26 : x
  2. Step 2: Convert to fraction form
    84,429.94/126,585.87 = 37,022.26/x
  3. Step 3: Cross multiply
    84,429.94x = 126,585.87 × 37,022.26
  4. Step 4: Simplify right side
    84,429.94x = 4,686,494,991.47
  5. Step 5: Solve for x
    x = 4,686,494,991.47/84,429.94
  6. Step 6: Final answer
    x = 55,507.50

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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.