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Finding the Fourth Proportional to 30,214.49, 45,322.13 and 10,493.42

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Solution

The fourth proportional to 30,214.49, 45,322.13 and 10,493.42 is: 15,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.49 : 45,322.13 = 10,493.42 : x
  2. Step 2: Convert to fraction form
    30,214.49/45,322.13 = 10,493.42/x
  3. Step 3: Cross multiply
    30,214.49x = 45,322.13 × 10,493.42
  4. Step 4: Simplify right side
    30,214.49x = 475,583,945.01
  5. Step 5: Solve for x
    x = 475,583,945.01/30,214.49
  6. Step 6: Final answer
    x = 15,740.26

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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.