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Finding the Fourth Proportional to 82,754.57, 114,203.52 and 46,949.96

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Solution

The fourth proportional to 82,754.57, 114,203.52 and 46,949.96 is: 64,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,754.57 : 114,203.52 = 46,949.96 : x
  2. Step 2: Convert to fraction form
    82,754.57/114,203.52 = 46,949.96/x
  3. Step 3: Cross multiply
    82,754.57x = 114,203.52 × 46,949.96
  4. Step 4: Simplify right side
    82,754.57x = 5,361,850,124.84
  5. Step 5: Solve for x
    x = 5,361,850,124.84/82,754.57
  6. Step 6: Final answer
    x = 64,792.20

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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.