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Finding the Fourth Proportional to 57,082.42, 78,741.21 and 33,206.32

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Solution

The fourth proportional to 57,082.42, 78,741.21 and 33,206.32 is: 45,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.42 : 78,741.21 = 33,206.32 : x
  2. Step 2: Convert to fraction form
    57,082.42/78,741.21 = 33,206.32/x
  3. Step 3: Cross multiply
    57,082.42x = 78,741.21 × 33,206.32
  4. Step 4: Simplify right side
    57,082.42x = 2,614,705,816.45
  5. Step 5: Solve for x
    x = 2,614,705,816.45/57,082.42
  6. Step 6: Final answer
    x = 45,805.80

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1.5x scale

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.