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Finding the Fourth Proportional to 55,535.80, 76,638.78 and 30,385

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Solution

The fourth proportional to 55,535.80, 76,638.78 and 30,385 is: 41,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,535.80 : 76,638.78 = 30,385 : x
  2. Step 2: Convert to fraction form
    55,535.80/76,638.78 = 30,385/x
  3. Step 3: Cross multiply
    55,535.80x = 76,638.78 × 30,385
  4. Step 4: Simplify right side
    55,535.80x = 2,328,669,330.30
  5. Step 5: Solve for x
    x = 2,328,669,330.30/55,535.80
  6. Step 6: Final answer
    x = 41,930.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.