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Finding the Fourth Proportional to 49,047.60, 67,684.74 and 27,537.86

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Solution

The fourth proportional to 49,047.60, 67,684.74 and 27,537.86 is: 38,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047.60 : 67,684.74 = 27,537.86 : x
  2. Step 2: Convert to fraction form
    49,047.60/67,684.74 = 27,537.86/x
  3. Step 3: Cross multiply
    49,047.60x = 67,684.74 × 27,537.86
  4. Step 4: Simplify right side
    49,047.60x = 1,863,892,894.26
  5. Step 5: Solve for x
    x = 1,863,892,894.26/49,047.60
  6. Step 6: Final answer
    x = 38,001.71

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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.