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Finding the Fourth Proportional to 57,056.40, 78,751.56 and 33,200.40

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Solution

The fourth proportional to 57,056.40, 78,751.56 and 33,200.40 is: 45,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.40 : 78,751.56 = 33,200.40 : x
  2. Step 2: Convert to fraction form
    57,056.40/78,751.56 = 33,200.40/x
  3. Step 3: Cross multiply
    57,056.40x = 78,751.56 × 33,200.40
  4. Step 4: Simplify right side
    57,056.40x = 2,614,583,292.62
  5. Step 5: Solve for x
    x = 2,614,583,292.62/57,056.40
  6. Step 6: Final answer
    x = 45,824.54

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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.