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Finding the Fourth Proportional to 57,292.26, 85,938.04 and 31,163.07

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Solution

The fourth proportional to 57,292.26, 85,938.04 and 31,163.07 is: 46,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,292.26 : 85,938.04 = 31,163.07 : x
  2. Step 2: Convert to fraction form
    57,292.26/85,938.04 = 31,163.07/x
  3. Step 3: Cross multiply
    57,292.26x = 85,938.04 × 31,163.07
  4. Step 4: Simplify right side
    57,292.26x = 2,678,093,156.18
  5. Step 5: Solve for x
    x = 2,678,093,156.18/57,292.26
  6. Step 6: Final answer
    x = 46,744.41

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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.