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Finding the Fourth Proportional to 30,969.52, 46,453.74 and 10,193.20

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Solution

The fourth proportional to 30,969.52, 46,453.74 and 10,193.20 is: 15,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.52 : 46,453.74 = 10,193.20 : x
  2. Step 2: Convert to fraction form
    30,969.52/46,453.74 = 10,193.20/x
  3. Step 3: Cross multiply
    30,969.52x = 46,453.74 × 10,193.20
  4. Step 4: Simplify right side
    30,969.52x = 473,512,262.57
  5. Step 5: Solve for x
    x = 473,512,262.57/30,969.52
  6. Step 6: Final answer
    x = 15,289.62

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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.