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Finding the Fourth Proportional to 57,206.50, 85,822.72 and 20,270.50

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Solution

The fourth proportional to 57,206.50, 85,822.72 and 20,270.50 is: 30,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.50 : 85,822.72 = 20,270.50 : x
  2. Step 2: Convert to fraction form
    57,206.50/85,822.72 = 20,270.50/x
  3. Step 3: Cross multiply
    57,206.50x = 85,822.72 × 20,270.50
  4. Step 4: Simplify right side
    57,206.50x = 1,739,669,445.76
  5. Step 5: Solve for x
    x = 1,739,669,445.76/57,206.50
  6. Step 6: Final answer
    x = 30,410.35

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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.