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Finding the Fourth Proportional to 57,229.40, 85,852.20 and 17,782.40

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Solution

The fourth proportional to 57,229.40, 85,852.20 and 17,782.40 is: 26,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229.40 : 85,852.20 = 17,782.40 : x
  2. Step 2: Convert to fraction form
    57,229.40/85,852.20 = 17,782.40/x
  3. Step 3: Cross multiply
    57,229.40x = 85,852.20 × 17,782.40
  4. Step 4: Simplify right side
    57,229.40x = 1,526,658,161.28
  5. Step 5: Solve for x
    x = 1,526,658,161.28/57,229.40
  6. Step 6: Final answer
    x = 26,676.12

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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.