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Finding the Fourth Proportional to 114,869.94, 172,285.47 and 31,744.50

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Solution

The fourth proportional to 114,869.94, 172,285.47 and 31,744.50 is: 47,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,869.94 : 172,285.47 = 31,744.50 : x
  2. Step 2: Convert to fraction form
    114,869.94/172,285.47 = 31,744.50/x
  3. Step 3: Cross multiply
    114,869.94x = 172,285.47 × 31,744.50
  4. Step 4: Simplify right side
    114,869.94x = 5,469,116,102.42
  5. Step 5: Solve for x
    x = 5,469,116,102.42/114,869.94
  6. Step 6: Final answer
    x = 47,611.38

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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.