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Finding the Fourth Proportional to 82,594.64, 113,976.96 and 46,783.94

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Solution

The fourth proportional to 82,594.64, 113,976.96 and 46,783.94 is: 64,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.64 : 113,976.96 = 46,783.94 : x
  2. Step 2: Convert to fraction form
    82,594.64/113,976.96 = 46,783.94/x
  3. Step 3: Cross multiply
    82,594.64x = 113,976.96 × 46,783.94
  4. Step 4: Simplify right side
    82,594.64x = 5,332,290,512.70
  5. Step 5: Solve for x
    x = 5,332,290,512.70/82,594.64
  6. Step 6: Final answer
    x = 64,559.76

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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.