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Finding the Fourth Proportional to 30,993.52, 46,510.08 and 11,270.20

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Solution

The fourth proportional to 30,993.52, 46,510.08 and 11,270.20 is: 16,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.52 : 46,510.08 = 11,270.20 : x
  2. Step 2: Convert to fraction form
    30,993.52/46,510.08 = 11,270.20/x
  3. Step 3: Cross multiply
    30,993.52x = 46,510.08 × 11,270.20
  4. Step 4: Simplify right side
    30,993.52x = 524,177,903.62
  5. Step 5: Solve for x
    x = 524,177,903.62/30,993.52
  6. Step 6: Final answer
    x = 16,912.50

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1.5x scale

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.