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Finding the Fourth Proportional to 78,392.89, 108,140.72 and 49,661.86

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Solution

The fourth proportional to 78,392.89, 108,140.72 and 49,661.86 is: 68,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.89 : 108,140.72 = 49,661.86 : x
  2. Step 2: Convert to fraction form
    78,392.89/108,140.72 = 49,661.86/x
  3. Step 3: Cross multiply
    78,392.89x = 108,140.72 × 49,661.86
  4. Step 4: Simplify right side
    78,392.89x = 5,370,469,296.94
  5. Step 5: Solve for x
    x = 5,370,469,296.94/78,392.89
  6. Step 6: Final answer
    x = 68,507.10

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Why These Related Problems?

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