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Finding the Fourth Proportional to 57,074.32, 78,769.21 and 33,202.00

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Solution

The fourth proportional to 57,074.32, 78,769.21 and 33,202.00 is: 45,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.32 : 78,769.21 = 33,202.00 : x
  2. Step 2: Convert to fraction form
    57,074.32/78,769.21 = 33,202.00/x
  3. Step 3: Cross multiply
    57,074.32x = 78,769.21 × 33,202.00
  4. Step 4: Simplify right side
    57,074.32x = 2,615,294,833.57
  5. Step 5: Solve for x
    x = 2,615,294,833.57/57,074.32
  6. Step 6: Final answer
    x = 45,822.62

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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.