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Finding the Fourth Proportional to 84,517.65, 116,630.75 and 46,276.50

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Solution

The fourth proportional to 84,517.65, 116,630.75 and 46,276.50 is: 63,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,517.65 : 116,630.75 = 46,276.50 : x
  2. Step 2: Convert to fraction form
    84,517.65/116,630.75 = 46,276.50/x
  3. Step 3: Cross multiply
    84,517.65x = 116,630.75 × 46,276.50
  4. Step 4: Simplify right side
    84,517.65x = 5,397,262,902.38
  5. Step 5: Solve for x
    x = 5,397,262,902.38/84,517.65
  6. Step 6: Final answer
    x = 63,859.60

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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.