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Finding the Fourth Proportional to 55,261.80, 82,893.24 and 30,288.24

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Solution

The fourth proportional to 55,261.80, 82,893.24 and 30,288.24 is: 45,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.80 : 82,893.24 = 30,288.24 : x
  2. Step 2: Convert to fraction form
    55,261.80/82,893.24 = 30,288.24/x
  3. Step 3: Cross multiply
    55,261.80x = 82,893.24 × 30,288.24
  4. Step 4: Simplify right side
    55,261.80x = 2,510,690,347.50
  5. Step 5: Solve for x
    x = 2,510,690,347.50/55,261.80
  6. Step 6: Final answer
    x = 45,432.66

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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.