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Finding the Fourth Proportional to 114,804.24, 172,206.12 and 31,698

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Solution

The fourth proportional to 114,804.24, 172,206.12 and 31,698 is: 47,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,804.24 : 172,206.12 = 31,698 : x
  2. Step 2: Convert to fraction form
    114,804.24/172,206.12 = 31,698/x
  3. Step 3: Cross multiply
    114,804.24x = 172,206.12 × 31,698
  4. Step 4: Simplify right side
    114,804.24x = 5,458,589,591.76
  5. Step 5: Solve for x
    x = 5,458,589,591.76/114,804.24
  6. Step 6: Final answer
    x = 47,546.93

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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.