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Finding the Fourth Proportional to 57,194.56, 85,762.59 and 23,905.54

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Solution

The fourth proportional to 57,194.56, 85,762.59 and 23,905.54 is: 35,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.56 : 85,762.59 = 23,905.54 : x
  2. Step 2: Convert to fraction form
    57,194.56/85,762.59 = 23,905.54/x
  3. Step 3: Cross multiply
    57,194.56x = 85,762.59 × 23,905.54
  4. Step 4: Simplify right side
    57,194.56x = 2,050,201,025.75
  5. Step 5: Solve for x
    x = 2,050,201,025.75/57,194.56
  6. Step 6: Final answer
    x = 35,846.08

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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.