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Finding the Fourth Proportional to 57,704.60, 86,573.10 and 28,123.40

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Solution

The fourth proportional to 57,704.60, 86,573.10 and 28,123.40 is: 42,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.60 : 86,573.10 = 28,123.40 : x
  2. Step 2: Convert to fraction form
    57,704.60/86,573.10 = 28,123.40/x
  3. Step 3: Cross multiply
    57,704.60x = 86,573.10 × 28,123.40
  4. Step 4: Simplify right side
    57,704.60x = 2,434,729,920.54
  5. Step 5: Solve for x
    x = 2,434,729,920.54/57,704.60
  6. Step 6: Final answer
    x = 42,193.00

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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.