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Finding the Fourth Proportional to 57,344.47, 86,016.70 and 17,904.96

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Solution

The fourth proportional to 57,344.47, 86,016.70 and 17,904.96 is: 26,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344.47 : 86,016.70 = 17,904.96 : x
  2. Step 2: Convert to fraction form
    57,344.47/86,016.70 = 17,904.96/x
  3. Step 3: Cross multiply
    57,344.47x = 86,016.70 × 17,904.96
  4. Step 4: Simplify right side
    57,344.47x = 1,540,125,595.21
  5. Step 5: Solve for x
    x = 1,540,125,595.21/57,344.47
  6. Step 6: Final answer
    x = 26,857.44

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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.