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Finding the Fourth Proportional to 82,789.92, 114,246.92 and 46,977.80

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Solution

The fourth proportional to 82,789.92, 114,246.92 and 46,977.80 is: 64,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.92 : 114,246.92 = 46,977.80 : x
  2. Step 2: Convert to fraction form
    82,789.92/114,246.92 = 46,977.80/x
  3. Step 3: Cross multiply
    82,789.92x = 114,246.92 × 46,977.80
  4. Step 4: Simplify right side
    82,789.92x = 5,367,068,958.38
  5. Step 5: Solve for x
    x = 5,367,068,958.38/82,789.92
  6. Step 6: Final answer
    x = 64,827.57

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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.