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Finding the Fourth Proportional to 55,171.70, 82,757.55 and 20,106.80

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Solution

The fourth proportional to 55,171.70, 82,757.55 and 20,106.80 is: 30,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,171.70 : 82,757.55 = 20,106.80 : x
  2. Step 2: Convert to fraction form
    55,171.70/82,757.55 = 20,106.80/x
  3. Step 3: Cross multiply
    55,171.70x = 82,757.55 × 20,106.80
  4. Step 4: Simplify right side
    55,171.70x = 1,663,989,506.34
  5. Step 5: Solve for x
    x = 1,663,989,506.34/55,171.70
  6. Step 6: Final answer
    x = 30,160.20

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1.5x scale

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.