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Finding the Fourth Proportional to 30,233.60, 45,332.67 and 9,167.30

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Solution

The fourth proportional to 30,233.60, 45,332.67 and 9,167.30 is: 13,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.60 : 45,332.67 = 9,167.30 : x
  2. Step 2: Convert to fraction form
    30,233.60/45,332.67 = 9,167.30/x
  3. Step 3: Cross multiply
    30,233.60x = 45,332.67 × 9,167.30
  4. Step 4: Simplify right side
    30,233.60x = 415,578,185.69
  5. Step 5: Solve for x
    x = 415,578,185.69/30,233.60
  6. Step 6: Final answer
    x = 13,745.57

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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.