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Finding the Fourth Proportional to 32,507.44, 48,779.52 and 20,057.92

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Solution

The fourth proportional to 32,507.44, 48,779.52 and 20,057.92 is: 30,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.44 : 48,779.52 = 20,057.92 : x
  2. Step 2: Convert to fraction form
    32,507.44/48,779.52 = 20,057.92/x
  3. Step 3: Cross multiply
    32,507.44x = 48,779.52 × 20,057.92
  4. Step 4: Simplify right side
    32,507.44x = 978,415,709.80
  5. Step 5: Solve for x
    x = 978,415,709.80/32,507.44
  6. Step 6: Final answer
    x = 30,098.21

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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.