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Finding the Fourth Proportional to 30,233.81, 45,350.73 and 11,765.81

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Solution

The fourth proportional to 30,233.81, 45,350.73 and 11,765.81 is: 17,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.81 : 45,350.73 = 11,765.81 : x
  2. Step 2: Convert to fraction form
    30,233.81/45,350.73 = 11,765.81/x
  3. Step 3: Cross multiply
    30,233.81x = 45,350.73 × 11,765.81
  4. Step 4: Simplify right side
    30,233.81x = 533,588,185.92
  5. Step 5: Solve for x
    x = 533,588,185.92/30,233.81
  6. Step 6: Final answer
    x = 17,648.72

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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.