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Finding the Fourth Proportional to 82,596.48, 113,982.84 and 46,782.96

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Solution

The fourth proportional to 82,596.48, 113,982.84 and 46,782.96 is: 64,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.48 : 113,982.84 = 46,782.96 : x
  2. Step 2: Convert to fraction form
    82,596.48/113,982.84 = 46,782.96/x
  3. Step 3: Cross multiply
    82,596.48x = 113,982.84 × 46,782.96
  4. Step 4: Simplify right side
    82,596.48x = 5,332,454,644.41
  5. Step 5: Solve for x
    x = 5,332,454,644.41/82,596.48
  6. Step 6: Final answer
    x = 64,560.31

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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.