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Finding the Fourth Proportional to 57,201, 85,814.46 and 20,265

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Solution

The fourth proportional to 57,201, 85,814.46 and 20,265 is: 30,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201 : 85,814.46 = 20,265 : x
  2. Step 2: Convert to fraction form
    57,201/85,814.46 = 20,265/x
  3. Step 3: Cross multiply
    57,201x = 85,814.46 × 20,265
  4. Step 4: Simplify right side
    57,201x = 1,739,030,031.90
  5. Step 5: Solve for x
    x = 1,739,030,031.90/57,201
  6. Step 6: Final answer
    x = 30,402.09

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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.