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Finding the Fourth Proportional to 30,233.80, 45,350.64 and 8,047.20

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Solution

The fourth proportional to 30,233.80, 45,350.64 and 8,047.20 is: 12,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.80 : 45,350.64 = 8,047.20 : x
  2. Step 2: Convert to fraction form
    30,233.80/45,350.64 = 8,047.20/x
  3. Step 3: Cross multiply
    30,233.80x = 45,350.64 × 8,047.20
  4. Step 4: Simplify right side
    30,233.80x = 364,945,670.21
  5. Step 5: Solve for x
    x = 364,945,670.21/30,233.80
  6. Step 6: Final answer
    x = 12,070.78

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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.