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Finding the Fourth Proportional to 55,245.70, 82,853.40 and 15,255.12

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Solution

The fourth proportional to 55,245.70, 82,853.40 and 15,255.12 is: 22,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,245.70 : 82,853.40 = 15,255.12 : x
  2. Step 2: Convert to fraction form
    55,245.70/82,853.40 = 15,255.12/x
  3. Step 3: Cross multiply
    55,245.70x = 82,853.40 × 15,255.12
  4. Step 4: Simplify right side
    55,245.70x = 1,263,938,559.41
  5. Step 5: Solve for x
    x = 1,263,938,559.41/55,245.70
  6. Step 6: Final answer
    x = 22,878.50

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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.