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Finding the Fourth Proportional to 57,782.60, 86,682.30 and 24,502.60

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Solution

The fourth proportional to 57,782.60, 86,682.30 and 24,502.60 is: 36,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.60 : 86,682.30 = 24,502.60 : x
  2. Step 2: Convert to fraction form
    57,782.60/86,682.30 = 24,502.60/x
  3. Step 3: Cross multiply
    57,782.60x = 86,682.30 × 24,502.60
  4. Step 4: Simplify right side
    57,782.60x = 2,123,941,723.98
  5. Step 5: Solve for x
    x = 2,123,941,723.98/57,782.60
  6. Step 6: Final answer
    x = 36,757.46

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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.