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Finding the Fourth Proportional to 57,825.76, 86,679.56 and 32,813

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Solution

The fourth proportional to 57,825.76, 86,679.56 and 32,813 is: 49,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,825.76 : 86,679.56 = 32,813 : x
  2. Step 2: Convert to fraction form
    57,825.76/86,679.56 = 32,813/x
  3. Step 3: Cross multiply
    57,825.76x = 86,679.56 × 32,813
  4. Step 4: Simplify right side
    57,825.76x = 2,844,216,402.28
  5. Step 5: Solve for x
    x = 2,844,216,402.28/57,825.76
  6. Step 6: Final answer
    x = 49,185.98

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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.