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Finding the Fourth Proportional to 57,166.52, 85,746.46 and 17,184.64

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Solution

The fourth proportional to 57,166.52, 85,746.46 and 17,184.64 is: 25,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,166.52 : 85,746.46 = 17,184.64 : x
  2. Step 2: Convert to fraction form
    57,166.52/85,746.46 = 17,184.64/x
  3. Step 3: Cross multiply
    57,166.52x = 85,746.46 × 17,184.64
  4. Step 4: Simplify right side
    57,166.52x = 1,473,522,046.37
  5. Step 5: Solve for x
    x = 1,473,522,046.37/57,166.52
  6. Step 6: Final answer
    x = 25,775.96

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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.