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Finding the Fourth Proportional to 55,197.54, 82,726.89 and 29,896.07

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Solution

The fourth proportional to 55,197.54, 82,726.89 and 29,896.07 is: 44,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,197.54 : 82,726.89 = 29,896.07 : x
  2. Step 2: Convert to fraction form
    55,197.54/82,726.89 = 29,896.07/x
  3. Step 3: Cross multiply
    55,197.54x = 82,726.89 × 29,896.07
  4. Step 4: Simplify right side
    55,197.54x = 2,473,208,480.69
  5. Step 5: Solve for x
    x = 2,473,208,480.69/55,197.54
  6. Step 6: Final answer
    x = 44,806.50

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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.