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Finding the Fourth Proportional to 57,980.25, 80,012.75 and 32,829.75

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Solution

The fourth proportional to 57,980.25, 80,012.75 and 32,829.75 is: 45,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980.25 : 80,012.75 = 32,829.75 : x
  2. Step 2: Convert to fraction form
    57,980.25/80,012.75 = 32,829.75/x
  3. Step 3: Cross multiply
    57,980.25x = 80,012.75 × 32,829.75
  4. Step 4: Simplify right side
    57,980.25x = 2,626,798,415.16
  5. Step 5: Solve for x
    x = 2,626,798,415.16/57,980.25
  6. Step 6: Final answer
    x = 45,305.06

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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.