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Finding the Fourth Proportional to 50,975.20, 76,462.80 and 37,853.20

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Solution

The fourth proportional to 50,975.20, 76,462.80 and 37,853.20 is: 56,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,975.20 : 76,462.80 = 37,853.20 : x
  2. Step 2: Convert to fraction form
    50,975.20/76,462.80 = 37,853.20/x
  3. Step 3: Cross multiply
    50,975.20x = 76,462.80 × 37,853.20
  4. Step 4: Simplify right side
    50,975.20x = 2,894,361,660.96
  5. Step 5: Solve for x
    x = 2,894,361,660.96/50,975.20
  6. Step 6: Final answer
    x = 56,779.80

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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.