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Finding the Fourth Proportional to 57,221.60, 85,832.40 and 17,778.40

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Solution

The fourth proportional to 57,221.60, 85,832.40 and 17,778.40 is: 26,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.60 : 85,832.40 = 17,778.40 : x
  2. Step 2: Convert to fraction form
    57,221.60/85,832.40 = 17,778.40/x
  3. Step 3: Cross multiply
    57,221.60x = 85,832.40 × 17,778.40
  4. Step 4: Simplify right side
    57,221.60x = 1,525,962,740.16
  5. Step 5: Solve for x
    x = 1,525,962,740.16/57,221.60
  6. Step 6: Final answer
    x = 26,667.60

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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.