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Finding the Fourth Proportional to 33,214.80, 49,830.96 and 13,506.96

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Solution

The fourth proportional to 33,214.80, 49,830.96 and 13,506.96 is: 20,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.80 : 49,830.96 = 13,506.96 : x
  2. Step 2: Convert to fraction form
    33,214.80/49,830.96 = 13,506.96/x
  3. Step 3: Cross multiply
    33,214.80x = 49,830.96 × 13,506.96
  4. Step 4: Simplify right side
    33,214.80x = 673,064,783.48
  5. Step 5: Solve for x
    x = 673,064,783.48/33,214.80
  6. Step 6: Final answer
    x = 20,264.00

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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.