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Finding the Fourth Proportional to 30,950.32, 42,711.33 and 16,803.16

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Solution

The fourth proportional to 30,950.32, 42,711.33 and 16,803.16 is: 23,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.32 : 42,711.33 = 16,803.16 : x
  2. Step 2: Convert to fraction form
    30,950.32/42,711.33 = 16,803.16/x
  3. Step 3: Cross multiply
    30,950.32x = 42,711.33 × 16,803.16
  4. Step 4: Simplify right side
    30,950.32x = 717,685,311.80
  5. Step 5: Solve for x
    x = 717,685,311.80/30,950.32
  6. Step 6: Final answer
    x = 23,188.30

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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.