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Finding the Fourth Proportional to 114,800.49, 172,200.50 and 31,694.25

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Solution

The fourth proportional to 114,800.49, 172,200.50 and 31,694.25 is: 47,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,800.49 : 172,200.50 = 31,694.25 : x
  2. Step 2: Convert to fraction form
    114,800.49/172,200.50 = 31,694.25/x
  3. Step 3: Cross multiply
    114,800.49x = 172,200.50 × 31,694.25
  4. Step 4: Simplify right side
    114,800.49x = 5,457,765,538.65
  5. Step 5: Solve for x
    x = 5,457,765,538.65/114,800.49
  6. Step 6: Final answer
    x = 47,541.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.