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Finding the Fourth Proportional to 57,854.74, 86,782.83 and 18,411.70

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Solution

The fourth proportional to 57,854.74, 86,782.83 and 18,411.70 is: 27,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854.74 : 86,782.83 = 18,411.70 : x
  2. Step 2: Convert to fraction form
    57,854.74/86,782.83 = 18,411.70/x
  3. Step 3: Cross multiply
    57,854.74x = 86,782.83 × 18,411.70
  4. Step 4: Simplify right side
    57,854.74x = 1,597,819,431.11
  5. Step 5: Solve for x
    x = 1,597,819,431.11/57,854.74
  6. Step 6: Final answer
    x = 27,617.78

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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.