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Finding the Fourth Proportional to 55,804.34, 83,709.63 and 17,856.92

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Solution

The fourth proportional to 55,804.34, 83,709.63 and 17,856.92 is: 26,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,804.34 : 83,709.63 = 17,856.92 : x
  2. Step 2: Convert to fraction form
    55,804.34/83,709.63 = 17,856.92/x
  3. Step 3: Cross multiply
    55,804.34x = 83,709.63 × 17,856.92
  4. Step 4: Simplify right side
    55,804.34x = 1,494,795,747.59
  5. Step 5: Solve for x
    x = 1,494,795,747.59/55,804.34
  6. Step 6: Final answer
    x = 26,786.37

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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.