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Finding the Fourth Proportional to 27,050.76, 40,576.38 and 9,533.16

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Solution

The fourth proportional to 27,050.76, 40,576.38 and 9,533.16 is: 14,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050.76 : 40,576.38 = 9,533.16 : x
  2. Step 2: Convert to fraction form
    27,050.76/40,576.38 = 9,533.16/x
  3. Step 3: Cross multiply
    27,050.76x = 40,576.38 × 9,533.16
  4. Step 4: Simplify right side
    27,050.76x = 386,821,122.76
  5. Step 5: Solve for x
    x = 386,821,122.76/27,050.76
  6. Step 6: Final answer
    x = 14,299.82

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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.