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Finding the Fourth Proportional to 82,697.76, 114,120.24 and 46,890.96

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Solution

The fourth proportional to 82,697.76, 114,120.24 and 46,890.96 is: 64,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,697.76 : 114,120.24 = 46,890.96 : x
  2. Step 2: Convert to fraction form
    82,697.76/114,120.24 = 46,890.96/x
  3. Step 3: Cross multiply
    82,697.76x = 114,120.24 × 46,890.96
  4. Step 4: Simplify right side
    82,697.76x = 5,351,207,609.03
  5. Step 5: Solve for x
    x = 5,351,207,609.03/82,697.76
  6. Step 6: Final answer
    x = 64,708.01

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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.