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Finding the Fourth Proportional to 33,230.80, 49,829.10 and 9,854.20

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Solution

The fourth proportional to 33,230.80, 49,829.10 and 9,854.20 is: 14,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.80 : 49,829.10 = 9,854.20 : x
  2. Step 2: Convert to fraction form
    33,230.80/49,829.10 = 9,854.20/x
  3. Step 3: Cross multiply
    33,230.80x = 49,829.10 × 9,854.20
  4. Step 4: Simplify right side
    33,230.80x = 491,025,917.22
  5. Step 5: Solve for x
    x = 491,025,917.22/33,230.80
  6. Step 6: Final answer
    x = 14,776.23

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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.