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Finding the Fourth Proportional to 30,224.80, 45,344.40 and 14,629.60

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Solution

The fourth proportional to 30,224.80, 45,344.40 and 14,629.60 is: 21,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.80 : 45,344.40 = 14,629.60 : x
  2. Step 2: Convert to fraction form
    30,224.80/45,344.40 = 14,629.60/x
  3. Step 3: Cross multiply
    30,224.80x = 45,344.40 × 14,629.60
  4. Step 4: Simplify right side
    30,224.80x = 663,370,434.24
  5. Step 5: Solve for x
    x = 663,370,434.24/30,224.80
  6. Step 6: Final answer
    x = 21,947.88

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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.