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Finding the Fourth Proportional to 114,697.50, 172,060.83 and 31,591.50

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Solution

The fourth proportional to 114,697.50, 172,060.83 and 31,591.50 is: 47,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,697.50 : 172,060.83 = 31,591.50 : x
  2. Step 2: Convert to fraction form
    114,697.50/172,060.83 = 31,591.50/x
  3. Step 3: Cross multiply
    114,697.50x = 172,060.83 × 31,591.50
  4. Step 4: Simplify right side
    114,697.50x = 5,435,659,710.95
  5. Step 5: Solve for x
    x = 5,435,659,710.95/114,697.50
  6. Step 6: Final answer
    x = 47,391.27

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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.