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Finding the Fourth Proportional to 30,199.56, 45,288 and 10,473.36

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Solution

The fourth proportional to 30,199.56, 45,288 and 10,473.36 is: 15,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.56 : 45,288 = 10,473.36 : x
  2. Step 2: Convert to fraction form
    30,199.56/45,288 = 10,473.36/x
  3. Step 3: Cross multiply
    30,199.56x = 45,288 × 10,473.36
  4. Step 4: Simplify right side
    30,199.56x = 474,317,527.68
  5. Step 5: Solve for x
    x = 474,317,527.68/30,199.56
  6. Step 6: Final answer
    x = 15,706.11

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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.