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Finding the Fourth Proportional to 57,181, 78,909.78 and 32,030.68

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Solution

The fourth proportional to 57,181, 78,909.78 and 32,030.68 is: 44,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,181 : 78,909.78 = 32,030.68 : x
  2. Step 2: Convert to fraction form
    57,181/78,909.78 = 32,030.68/x
  3. Step 3: Cross multiply
    57,181x = 78,909.78 × 32,030.68
  4. Step 4: Simplify right side
    57,181x = 2,527,533,912.05
  5. Step 5: Solve for x
    x = 2,527,533,912.05/57,181
  6. Step 6: Final answer
    x = 44,202.34

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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.