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Finding the Fourth Proportional to 57,205.60, 85,824.60 and 17,766.70

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Solution

The fourth proportional to 57,205.60, 85,824.60 and 17,766.70 is: 26,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.60 : 85,824.60 = 17,766.70 : x
  2. Step 2: Convert to fraction form
    57,205.60/85,824.60 = 17,766.70/x
  3. Step 3: Cross multiply
    57,205.60x = 85,824.60 × 17,766.70
  4. Step 4: Simplify right side
    57,205.60x = 1,524,819,920.82
  5. Step 5: Solve for x
    x = 1,524,819,920.82/57,205.60
  6. Step 6: Final answer
    x = 26,655.08

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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.