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Finding the Fourth Proportional to 30,811.92, 42,510.60 and 18,234.24

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Solution

The fourth proportional to 30,811.92, 42,510.60 and 18,234.24 is: 25,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.92 : 42,510.60 = 18,234.24 : x
  2. Step 2: Convert to fraction form
    30,811.92/42,510.60 = 18,234.24/x
  3. Step 3: Cross multiply
    30,811.92x = 42,510.60 × 18,234.24
  4. Step 4: Simplify right side
    30,811.92x = 775,148,482.94
  5. Step 5: Solve for x
    x = 775,148,482.94/30,811.92
  6. Step 6: Final answer
    x = 25,157.42

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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.