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Finding the Fourth Proportional to 57,657.07, 86,494.11 and 18,205.21

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Solution

The fourth proportional to 57,657.07, 86,494.11 and 18,205.21 is: 27,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.07 : 86,494.11 = 18,205.21 : x
  2. Step 2: Convert to fraction form
    57,657.07/86,494.11 = 18,205.21/x
  3. Step 3: Cross multiply
    57,657.07x = 86,494.11 × 18,205.21
  4. Step 4: Simplify right side
    57,657.07x = 1,574,643,436.31
  5. Step 5: Solve for x
    x = 1,574,643,436.31/57,657.07
  6. Step 6: Final answer
    x = 27,310.50

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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.