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Finding the Fourth Proportional to 114,800.24, 172,200.12 and 31,694

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Solution

The fourth proportional to 114,800.24, 172,200.12 and 31,694 is: 47,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,800.24 : 172,200.12 = 31,694 : x
  2. Step 2: Convert to fraction form
    114,800.24/172,200.12 = 31,694/x
  3. Step 3: Cross multiply
    114,800.24x = 172,200.12 × 31,694
  4. Step 4: Simplify right side
    114,800.24x = 5,457,710,603.28
  5. Step 5: Solve for x
    x = 5,457,710,603.28/114,800.24
  6. Step 6: Final answer
    x = 47,540.93

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