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Finding the Fourth Proportional to 82,471.50, 113,810.70 and 46,660.74

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Solution

The fourth proportional to 82,471.50, 113,810.70 and 46,660.74 is: 64,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.50 : 113,810.70 = 46,660.74 : x
  2. Step 2: Convert to fraction form
    82,471.50/113,810.70 = 46,660.74/x
  3. Step 3: Cross multiply
    82,471.50x = 113,810.70 × 46,660.74
  4. Step 4: Simplify right side
    82,471.50x = 5,310,491,481.92
  5. Step 5: Solve for x
    x = 5,310,491,481.92/82,471.50
  6. Step 6: Final answer
    x = 64,391.84

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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.