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Finding the Fourth Proportional to 82,706.87, 114,135.48 and 46,896.87

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Solution

The fourth proportional to 82,706.87, 114,135.48 and 46,896.87 is: 64,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.87 : 114,135.48 = 46,896.87 : x
  2. Step 2: Convert to fraction form
    82,706.87/114,135.48 = 46,896.87/x
  3. Step 3: Cross multiply
    82,706.87x = 114,135.48 × 46,896.87
  4. Step 4: Simplify right side
    82,706.87x = 5,352,597,195.96
  5. Step 5: Solve for x
    x = 5,352,597,195.96/82,706.87
  6. Step 6: Final answer
    x = 64,717.68

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1.5x scale

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.