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Finding the Fourth Proportional to 57,283.83, 85,891.05 and 25,687.98

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Solution

The fourth proportional to 57,283.83, 85,891.05 and 25,687.98 is: 38,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.83 : 85,891.05 = 25,687.98 : x
  2. Step 2: Convert to fraction form
    57,283.83/85,891.05 = 25,687.98/x
  3. Step 3: Cross multiply
    57,283.83x = 85,891.05 × 25,687.98
  4. Step 4: Simplify right side
    57,283.83x = 2,206,367,574.58
  5. Step 5: Solve for x
    x = 2,206,367,574.58/57,283.83
  6. Step 6: Final answer
    x = 38,516.41

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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.