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Finding the Fourth Proportional to 82,763.44, 114,205.65 and 46,456.57

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Solution

The fourth proportional to 82,763.44, 114,205.65 and 46,456.57 is: 64,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.44 : 114,205.65 = 46,456.57 : x
  2. Step 2: Convert to fraction form
    82,763.44/114,205.65 = 46,456.57/x
  3. Step 3: Cross multiply
    82,763.44x = 114,205.65 × 46,456.57
  4. Step 4: Simplify right side
    82,763.44x = 5,305,602,868.74
  5. Step 5: Solve for x
    x = 5,305,602,868.74/82,763.44
  6. Step 6: Final answer
    x = 64,105.64

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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.