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Finding the Fourth Proportional to 30,313.49, 45,464.78 and 10,597.68

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Solution

The fourth proportional to 30,313.49, 45,464.78 and 10,597.68 is: 15,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.49 : 45,464.78 = 10,597.68 : x
  2. Step 2: Convert to fraction form
    30,313.49/45,464.78 = 10,597.68/x
  3. Step 3: Cross multiply
    30,313.49x = 45,464.78 × 10,597.68
  4. Step 4: Simplify right side
    30,313.49x = 481,821,136.72
  5. Step 5: Solve for x
    x = 481,821,136.72/30,313.49
  6. Step 6: Final answer
    x = 15,894.61

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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.