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Finding the Fourth Proportional to 82,993.76, 114,527.92 and 45,265.76

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Solution

The fourth proportional to 82,993.76, 114,527.92 and 45,265.76 is: 62,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.76 : 114,527.92 = 45,265.76 : x
  2. Step 2: Convert to fraction form
    82,993.76/114,527.92 = 45,265.76/x
  3. Step 3: Cross multiply
    82,993.76x = 114,527.92 × 45,265.76
  4. Step 4: Simplify right side
    82,993.76x = 5,184,193,340.02
  5. Step 5: Solve for x
    x = 5,184,193,340.02/82,993.76
  6. Step 6: Final answer
    x = 62,464.86

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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.