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Finding the Fourth Proportional to 30,074.84, 45,115.29 and 10,350.80

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Solution

The fourth proportional to 30,074.84, 45,115.29 and 10,350.80 is: 15,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.84 : 45,115.29 = 10,350.80 : x
  2. Step 2: Convert to fraction form
    30,074.84/45,115.29 = 10,350.80/x
  3. Step 3: Cross multiply
    30,074.84x = 45,115.29 × 10,350.80
  4. Step 4: Simplify right side
    30,074.84x = 466,979,343.73
  5. Step 5: Solve for x
    x = 466,979,343.73/30,074.84
  6. Step 6: Final answer
    x = 15,527.24

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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.