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Finding the Fourth Proportional to 30,240.84, 45,360 and 9,180.12

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Solution

The fourth proportional to 30,240.84, 45,360 and 9,180.12 is: 13,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240.84 : 45,360 = 9,180.12 : x
  2. Step 2: Convert to fraction form
    30,240.84/45,360 = 9,180.12/x
  3. Step 3: Cross multiply
    30,240.84x = 45,360 × 9,180.12
  4. Step 4: Simplify right side
    30,240.84x = 416,410,243.20
  5. Step 5: Solve for x
    x = 416,410,243.20/30,240.84
  6. Step 6: Final answer
    x = 13,769.80

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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.