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Finding the Fourth Proportional to 30,950.40, 42,711.67 and 16,803.24

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Solution

The fourth proportional to 30,950.40, 42,711.67 and 16,803.24 is: 23,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.40 : 42,711.67 = 16,803.24 : x
  2. Step 2: Convert to fraction form
    30,950.40/42,711.67 = 16,803.24/x
  3. Step 3: Cross multiply
    30,950.40x = 42,711.67 × 16,803.24
  4. Step 4: Simplify right side
    30,950.40x = 717,694,441.81
  5. Step 5: Solve for x
    x = 717,694,441.81/30,950.40
  6. Step 6: Final answer
    x = 23,188.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.