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Finding the Fourth Proportional to 38,461.40, 57,694.80 and 21,829.40

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Solution

The fourth proportional to 38,461.40, 57,694.80 and 21,829.40 is: 32,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.40 : 57,694.80 = 21,829.40 : x
  2. Step 2: Convert to fraction form
    38,461.40/57,694.80 = 21,829.40/x
  3. Step 3: Cross multiply
    38,461.40x = 57,694.80 × 21,829.40
  4. Step 4: Simplify right side
    38,461.40x = 1,259,442,867.12
  5. Step 5: Solve for x
    x = 1,259,442,867.12/38,461.40
  6. Step 6: Final answer
    x = 32,745.63

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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.