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Finding the Fourth Proportional to 30,504.80, 45,757.20 and 10,783.20

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Solution

The fourth proportional to 30,504.80, 45,757.20 and 10,783.20 is: 16,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.80 : 45,757.20 = 10,783.20 : x
  2. Step 2: Convert to fraction form
    30,504.80/45,757.20 = 10,783.20/x
  3. Step 3: Cross multiply
    30,504.80x = 45,757.20 × 10,783.20
  4. Step 4: Simplify right side
    30,504.80x = 493,409,039.04
  5. Step 5: Solve for x
    x = 493,409,039.04/30,504.80
  6. Step 6: Final answer
    x = 16,174.80

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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.