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Finding the Fourth Proportional to 27,050.16, 40,571.46 and 9,280.53

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Solution

The fourth proportional to 27,050.16, 40,571.46 and 9,280.53 is: 13,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050.16 : 40,571.46 = 9,280.53 : x
  2. Step 2: Convert to fraction form
    27,050.16/40,571.46 = 9,280.53/x
  3. Step 3: Cross multiply
    27,050.16x = 40,571.46 × 9,280.53
  4. Step 4: Simplify right side
    27,050.16x = 376,524,651.67
  5. Step 5: Solve for x
    x = 376,524,651.67/27,050.16
  6. Step 6: Final answer
    x = 13,919.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.