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Finding the Fourth Proportional to 55,805.38, 77,011.20 and 30,311.54

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Solution

The fourth proportional to 55,805.38, 77,011.20 and 30,311.54 is: 41,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,805.38 : 77,011.20 = 30,311.54 : x
  2. Step 2: Convert to fraction form
    55,805.38/77,011.20 = 30,311.54/x
  3. Step 3: Cross multiply
    55,805.38x = 77,011.20 × 30,311.54
  4. Step 4: Simplify right side
    55,805.38x = 2,334,328,069.25
  5. Step 5: Solve for x
    x = 2,334,328,069.25/55,805.38
  6. Step 6: Final answer
    x = 41,829.80

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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.