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Finding the Fourth Proportional to 54,697.50, 82,050.30 and 21,414.60

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Solution

The fourth proportional to 54,697.50, 82,050.30 and 21,414.60 is: 32,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.50 : 82,050.30 = 21,414.60 : x
  2. Step 2: Convert to fraction form
    54,697.50/82,050.30 = 21,414.60/x
  3. Step 3: Cross multiply
    54,697.50x = 82,050.30 × 21,414.60
  4. Step 4: Simplify right side
    54,697.50x = 1,757,074,354.38
  5. Step 5: Solve for x
    x = 1,757,074,354.38/54,697.50
  6. Step 6: Final answer
    x = 32,123.49

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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.