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Finding the Fourth Proportional to 49,684.86, 68,541 and 29,527.46

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Solution

The fourth proportional to 49,684.86, 68,541 and 29,527.46 is: 40,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,684.86 : 68,541 = 29,527.46 : x
  2. Step 2: Convert to fraction form
    49,684.86/68,541 = 29,527.46/x
  3. Step 3: Cross multiply
    49,684.86x = 68,541 × 29,527.46
  4. Step 4: Simplify right side
    49,684.86x = 2,023,841,635.86
  5. Step 5: Solve for x
    x = 2,023,841,635.86/49,684.86
  6. Step 6: Final answer
    x = 40,733.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.