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Finding the Fourth Proportional to 38,489.40, 57,782.70 and 20,734.20

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Solution

The fourth proportional to 38,489.40, 57,782.70 and 20,734.20 is: 31,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.40 : 57,782.70 = 20,734.20 : x
  2. Step 2: Convert to fraction form
    38,489.40/57,782.70 = 20,734.20/x
  3. Step 3: Cross multiply
    38,489.40x = 57,782.70 × 20,734.20
  4. Step 4: Simplify right side
    38,489.40x = 1,198,078,058.34
  5. Step 5: Solve for x
    x = 1,198,078,058.34/38,489.40
  6. Step 6: Final answer
    x = 31,127.48

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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.