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Finding the Fourth Proportional to 55,106.56, 76,043.84 and 29,955.84

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Solution

The fourth proportional to 55,106.56, 76,043.84 and 29,955.84 is: 41,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106.56 : 76,043.84 = 29,955.84 : x
  2. Step 2: Convert to fraction form
    55,106.56/76,043.84 = 29,955.84/x
  3. Step 3: Cross multiply
    55,106.56x = 76,043.84 × 29,955.84
  4. Step 4: Simplify right side
    55,106.56x = 2,277,957,104.03
  5. Step 5: Solve for x
    x = 2,277,957,104.03/55,106.56
  6. Step 6: Final answer
    x = 41,337.31

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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.