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Finding the Fourth Proportional to 31,294.24, 46,941.43 and 7,601.68

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Solution

The fourth proportional to 31,294.24, 46,941.43 and 7,601.68 is: 11,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.24 : 46,941.43 = 7,601.68 : x
  2. Step 2: Convert to fraction form
    31,294.24/46,941.43 = 7,601.68/x
  3. Step 3: Cross multiply
    31,294.24x = 46,941.43 × 7,601.68
  4. Step 4: Simplify right side
    31,294.24x = 356,833,729.60
  5. Step 5: Solve for x
    x = 356,833,729.60/31,294.24
  6. Step 6: Final answer
    x = 11,402.54

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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.