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Finding the Fourth Proportional to 30,149.96, 45,231.82 and 10,428.49

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Solution

The fourth proportional to 30,149.96, 45,231.82 and 10,428.49 is: 15,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.96 : 45,231.82 = 10,428.49 : x
  2. Step 2: Convert to fraction form
    30,149.96/45,231.82 = 10,428.49/x
  3. Step 3: Cross multiply
    30,149.96x = 45,231.82 × 10,428.49
  4. Step 4: Simplify right side
    30,149.96x = 471,699,485.81
  5. Step 5: Solve for x
    x = 471,699,485.81/30,149.96
  6. Step 6: Final answer
    x = 15,645.11

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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.