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Finding the Fourth Proportional to 30,243.49, 45,360.10 and 9,178.45

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Solution

The fourth proportional to 30,243.49, 45,360.10 and 9,178.45 is: 13,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.49 : 45,360.10 = 9,178.45 : x
  2. Step 2: Convert to fraction form
    30,243.49/45,360.10 = 9,178.45/x
  3. Step 3: Cross multiply
    30,243.49x = 45,360.10 × 9,178.45
  4. Step 4: Simplify right side
    30,243.49x = 416,335,409.85
  5. Step 5: Solve for x
    x = 416,335,409.85/30,243.49
  6. Step 6: Final answer
    x = 13,766.12

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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.