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Finding the Fourth Proportional to 78,654.38, 108,580.38 and 50,376.74

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Solution

The fourth proportional to 78,654.38, 108,580.38 and 50,376.74 is: 69,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.38 : 108,580.38 = 50,376.74 : x
  2. Step 2: Convert to fraction form
    78,654.38/108,580.38 = 50,376.74/x
  3. Step 3: Cross multiply
    78,654.38x = 108,580.38 × 50,376.74
  4. Step 4: Simplify right side
    78,654.38x = 5,469,925,572.36
  5. Step 5: Solve for x
    x = 5,469,925,572.36/78,654.38
  6. Step 6: Final answer
    x = 69,543.81

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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.