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Finding the Fourth Proportional to 57,197.63, 85,826.36 and 41,532.06

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Solution

The fourth proportional to 57,197.63, 85,826.36 and 41,532.06 is: 62,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.63 : 85,826.36 = 41,532.06 : x
  2. Step 2: Convert to fraction form
    57,197.63/85,826.36 = 41,532.06/x
  3. Step 3: Cross multiply
    57,197.63x = 85,826.36 × 41,532.06
  4. Step 4: Simplify right side
    57,197.63x = 3,564,545,325.44
  5. Step 5: Solve for x
    x = 3,564,545,325.44/57,197.63
  6. Step 6: Final answer
    x = 62,319.81

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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.