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Finding the Fourth Proportional to 30,950.38, 42,711.20 and 16,803.20

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Solution

The fourth proportional to 30,950.38, 42,711.20 and 16,803.20 is: 23,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.38 : 42,711.20 = 16,803.20 : x
  2. Step 2: Convert to fraction form
    30,950.38/42,711.20 = 16,803.20/x
  3. Step 3: Cross multiply
    30,950.38x = 42,711.20 × 16,803.20
  4. Step 4: Simplify right side
    30,950.38x = 717,684,835.84
  5. Step 5: Solve for x
    x = 717,684,835.84/30,950.38
  6. Step 6: Final answer
    x = 23,188.24

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Why These Related Problems?

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