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Finding the Fourth Proportional to 82,594.58, 113,976.87 and 46,783.88

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Solution

The fourth proportional to 82,594.58, 113,976.87 and 46,783.88 is: 64,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.58 : 113,976.87 = 46,783.88 : x
  2. Step 2: Convert to fraction form
    82,594.58/113,976.87 = 46,783.88/x
  3. Step 3: Cross multiply
    82,594.58x = 113,976.87 × 46,783.88
  4. Step 4: Simplify right side
    82,594.58x = 5,332,279,638.97
  5. Step 5: Solve for x
    x = 5,332,279,638.97/82,594.58
  6. Step 6: Final answer
    x = 64,559.68

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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.