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Finding the Fourth Proportional to 53,804.92, 80,707.11 and 13,823.86

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Solution

The fourth proportional to 53,804.92, 80,707.11 and 13,823.86 is: 20,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804.92 : 80,707.11 = 13,823.86 : x
  2. Step 2: Convert to fraction form
    53,804.92/80,707.11 = 13,823.86/x
  3. Step 3: Cross multiply
    53,804.92x = 80,707.11 × 13,823.86
  4. Step 4: Simplify right side
    53,804.92x = 1,115,683,789.64
  5. Step 5: Solve for x
    x = 1,115,683,789.64/53,804.92
  6. Step 6: Final answer
    x = 20,735.72

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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.