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Finding the Fourth Proportional to 82,940.14, 114,454 and 46,640.55

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Solution

The fourth proportional to 82,940.14, 114,454 and 46,640.55 is: 64,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.14 : 114,454 = 46,640.55 : x
  2. Step 2: Convert to fraction form
    82,940.14/114,454 = 46,640.55/x
  3. Step 3: Cross multiply
    82,940.14x = 114,454 × 46,640.55
  4. Step 4: Simplify right side
    82,940.14x = 5,338,197,509.70
  5. Step 5: Solve for x
    x = 5,338,197,509.70/82,940.14
  6. Step 6: Final answer
    x = 64,362.05

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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.