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Finding the Fourth Proportional to 57,209.80, 85,814.70 and 17,770.90

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Solution

The fourth proportional to 57,209.80, 85,814.70 and 17,770.90 is: 26,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.80 : 85,814.70 = 17,770.90 : x
  2. Step 2: Convert to fraction form
    57,209.80/85,814.70 = 17,770.90/x
  3. Step 3: Cross multiply
    57,209.80x = 85,814.70 × 17,770.90
  4. Step 4: Simplify right side
    57,209.80x = 1,525,004,452.23
  5. Step 5: Solve for x
    x = 1,525,004,452.23/57,209.80
  6. Step 6: Final answer
    x = 26,656.35

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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.