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Finding the Fourth Proportional to 57,646.42, 86,472.28 and 17,662.54

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Solution

The fourth proportional to 57,646.42, 86,472.28 and 17,662.54 is: 26,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.42 : 86,472.28 = 17,662.54 : x
  2. Step 2: Convert to fraction form
    57,646.42/86,472.28 = 17,662.54/x
  3. Step 3: Cross multiply
    57,646.42x = 86,472.28 × 17,662.54
  4. Step 4: Simplify right side
    57,646.42x = 1,527,319,844.05
  5. Step 5: Solve for x
    x = 1,527,319,844.05/57,646.42
  6. Step 6: Final answer
    x = 26,494.62

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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.