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Finding the Fourth Proportional to 57,213.45, 85,825.85 and 21,199.50

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Solution

The fourth proportional to 57,213.45, 85,825.85 and 21,199.50 is: 31,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.45 : 85,825.85 = 21,199.50 : x
  2. Step 2: Convert to fraction form
    57,213.45/85,825.85 = 21,199.50/x
  3. Step 3: Cross multiply
    57,213.45x = 85,825.85 × 21,199.50
  4. Step 4: Simplify right side
    57,213.45x = 1,819,465,001.08
  5. Step 5: Solve for x
    x = 1,819,465,001.08/57,213.45
  6. Step 6: Final answer
    x = 31,801.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.